00:08 Importance of studying Limits for JEE Main & Advanced 02:10 Limits in standard format and series expansion are important in this chapter. 07:27 Understanding RHL and LHL in function limits 10:05 Understanding limits of a function visually and mathematically 15:50 Understanding limits using the wise method 18:25 Understanding the concept of limits in fractions and approaching zero. 23:15 Piecewise defined functions have different values for different pieces. 25:22 Understanding limits and evaluating limits 30:10 Understanding indeterminate forms and methods 32:22 Factorization method for limits 37:07 Understanding the concept of limits in math 39:21 Rationalizing the expression x^1/3 - 1 44:11 Limits to infinity and the impact of largest term 46:26 Understanding limits as x tends to infinity 51:03 Understanding limits as n tends to infinity 53:27 Understanding limits as x approaches infinity 58:47 Calculating limits involving x and its common factors 1:01:09 Understanding the concept of limits and when to check RHL and LHL 1:05:50 Limits exist in some cases and not in others. 1:08:10 The value of power and limits explained 1:12:44 Understanding the concept of limits and the mistake of breaking the limit 1:15:01 Understanding the concept of limits and zeros below 1:19:34 Understanding the importance of making sin5x or x the same to make zero 1:22:08 Understanding the concept of limits and its importance 1:27:13 Understanding the concept of limit x trend 1:30:01 Understanding the concept of limits in trigonometry 1:34:51 Making the denominator happy to find the number of zeros below 1:37:05 Understanding the position of zeros and numerators in a polynomial 1:41:55 Summary of expansion and limits concepts 1:44:22 No need for manipulation in expansion 1:49:22 Limits require confidence and basic understanding 1:51:18 Understanding the concept of limits and factorization in solving equations. 1:56:12 Understanding the steps to solve limit problems. 1:59:21 Limits Class 11 summarized 2:04:21 Understanding the expansion and terms of the given expression. 2:06:49 Solving a complex question involving limits and properties. 2:12:09 Using expansion to solve limits 2:14:28 Managing life and planting Mentos 2:19:31 L'Hôpital's Rule helps find limits of indeterminate forms. 2:22:02 Replace tough limit with easier limit 2:26:52 Understanding non-zero value in limits 2:29:12 Establishing limits and limits conversion 2:33:46 Understanding the format of infinity and converting it 2:36:30 Limits of zero, infinity, and power explained 2:40:52 Understanding limits and zero power in calculus
00:08 Focus on understanding Limits for JEE Main & Advanced. 02:10 Limits Class 11 covered with series expansion and L'Hospital Rule. 07:27 Understanding RHL and LHL in limits 10:05 Understanding limits and continuous functions at x=a 15:50 Discussion on limits and applying wise methods 18:25 Understanding limits and approaching values 23:15 Understanding piecewise defined functions 25:22 Understanding limits and their notation 30:10 Understanding Indeterminate Forms 32:22 Factorization method for finding limits 37:07 Understanding the concept of limits and substitutions in mathematics. 39:21 The video explains rationalization and simplification of limits. 44:11 Limits to infinity with highest term 46:26 Concept of limits and LCM in calculus 51:03 Understanding the concept of taking limits as n tends to infinity. 53:27 Understanding limits and infinity concepts 58:47 Limits of type 1 + x and 1/x 1:01:09 Understanding limits and when to check for RHL and LHL 1:05:50 Understanding limits and their properties 1:08:10 Limits approach infinity and equality in certain cases 1:12:44 Applying limit correctly is crucial for accurate calculations. 1:15:01 Understanding the concept of limits in mathematics. 1:19:34 Understanding the importance of making zero and dealing with degrees 1:22:08 Explaining the importance of right-hand and left-hand limits in limits class for JEE Main & Advanced. 1:27:13 Understanding the concept of limit as x tends to 0 1:30:01 Understanding the concept of limits as theta tends to 0. 1:34:51 Making the denominator happy is crucial for understanding limits 1:37:05 Understanding the positioning of zeros and using LCM to solve the problem. 1:41:55 Explanation of expansion and limits in a simple way 1:44:22 Expansion simplifies limits calculation 1:49:22 Limits and confidence in problem-solving 1:51:18 Understanding the concept of limits and factorization 1:56:12 Understanding the concept of limits in a simple manner 1:59:21 Understanding limits using expansion 2:04:21 Understanding the expansion and value of the given term 2:06:49 Solving a question involving the elimination method 2:12:09 Understanding the importance of expansion in limits 2:14:28 Managing life and simplifying expansions 2:19:31 L'Hôpital's Rule explains how to solve indeterminate limits. 2:22:02 Replace tough limit with easier limit 2:26:52 Limits can lead to non-zero values below zero 2:29:12 Understanding limits and evaluating expressions 2:33:46 Understanding the format of Infinity and its conversion 2:36:30 Understanding limits in infinity format 2:40:52 Understanding limits and power zero
The video covers the topic of limits in detail, including the concepts of LHL, RHL, and continuity. The speaker explains various methods to solve limit problems, such as factorization, rationalization, and L'Hôpital's rule. The video also discusses the importance of understanding the behavior of functions at infinity and handling indeterminate forms. Key moments: 08:45 Understanding the concept of LHL and RHL in limits is crucial for solving functions. The relationship between RHL and LHL determines the value of a function at a specific point. -Explaining the meaning and significance of LHL and RHL in limits. Understanding how the value of a function changes as it approaches a specific point from the left and right sides. -Differentiating between LHL and RHL in the context of functions. Highlighting the importance of determining the value of a function at a particular point using LHL and RHL. -Emphasizing the application of LHL and RHL in analyzing functions. Demonstrating how LHL and RHL help in evaluating the behavior of functions at critical points. 10:12 Understanding the concept of limits in mathematics is crucial for solving mathematical problems efficiently. Visualizing functions and applying mathematical methods help in simplifying complex equations. -Visualizing functions and understanding how to write them mathematically is essential for solving mathematical equations accurately. -Exploring the concept of limits and how they help in determining the value of functions in mathematical equations. -Solving mathematical problems by applying basic methods and techniques, such as breaking down fractions and evaluating expressions. 20:17 Understanding the concept of limit in mathematics is crucial for evaluating functions accurately. Limiting values determine function behaviors and help in solving complex mathematical expressions. -Explaining the importance of conceptual clarity in understanding limits for accurate function evaluation. -Highlighting the significance of limiting values in determining function behaviors and solving mathematical expressions. -Discussing the practical application of limits in evaluating functions and the role of limiting values in mathematical calculations. 30:29 Understanding the concept of limits is crucial in mathematics. By applying methods like factorization and rationalization, complex equations can be simplified to find accurate answers. -Factorization and rationalization are fundamental methods in mathematics to simplify equations and find accurate solutions. -Exploring the concept of limits and applying methods like factorization and rationalization to solve complex mathematical equations. -Learning how to handle situations where limits approach zero and applying mathematical techniques like factorization and rationalization for accurate solutions. 40:36 Understanding the concept of limits in mathematics is crucial for solving complex equations involving infinity. Simplifying expressions by identifying the highest power terms is a key strategy in limit calculations. -Solving equations involving infinity and limits is essential in mathematics for accurate results in complex calculations. -Identifying and simplifying the highest power terms is a fundamental technique in limit calculations to determine accurate answers. -Exploring different scenarios where the concept of limits and infinity play a crucial role in solving mathematical equations. 50:41 Understanding the concept of limits to infinity is crucial in mathematics as it helps simplify complex calculations and solve equations efficiently. -Exploring the concept of negative infinity and its role in mathematical calculations. -Utilizing shortcuts and basic methods to solve equations involving infinity, saving time and effort. -Demonstrating the application of limits to infinity in mathematical calculations and problem-solving. 1:00:46 Understanding limits in mathematics involves checking the existence and value of a limit, which is crucial for solving mathematical problems effectively. -Differentiating between limits that exist and those that do not is essential for accurate mathematical calculations and problem-solving. -Exploring the concept of limits further by examining scenarios where limits approach zero and understanding the implications of power in mathematical expressions. -Discussing the importance of strict inequality and equality in limits, and how including these concepts can impact mathematical outcomes and solutions. 1:10:52 Understanding limits and derivatives is crucial in mathematics. The process involves breaking down complex expressions and identifying common factors to solve equations effectively. -Importance of breaking down complex expressions to understand limits and derivatives. It involves identifying common factors and simplifying equations for accurate solutions. -The significance of recognizing real numbers and degrees in mathematical calculations. Real numbers play a vital role in determining the accuracy of limit calculations. 1:20:59 Understanding the concept of sign of 0 by sign of x and not of x, and the importance of careful consideration in mathematical calculations, is crucial for accurate results. -Importance of recognizing the significance of real numbers and the role of radians in mathematical calculations. -The importance of correctly interpreting mathematical formulas and the impact of zero values on calculations. -The significance of understanding trigonometric concepts and the implications of zero values in mathematical expressions. 1:39:46 Understanding limits in mathematics is crucial for solving complex problems. Recognizing the behavior of functions as they approach certain values is essential for accurate mathematical analysis. -Importance of recognizing the behavior of functions near specific values for accurate mathematical analysis. -The concept of limits and how it impacts the behavior of functions in mathematical equations. -Different approaches to understanding limits and their significance in mathematical calculations. 1:41:07 Understanding the concept of limits and exponentials is crucial in mathematics. Manipulating expressions involving limits and exponentials simplifies problem-solving and leads to accurate answers. -Manipulating limits and exponentials helps in problem-solving and obtaining accurate results in mathematics. -The importance of understanding and applying limits and exponentials in mathematical calculations. -Solving algebraic equations involving limits and exponentials requires careful manipulation and understanding of the concepts. 1:51:11 Understanding mathematical concepts like limits and powers is crucial for solving equations effectively. It is important to break down complex equations into simpler terms to reach accurate solutions. -Importance of adjusting and setting limits in mathematical equations for accurate solutions. -Utilizing powers and factors to simplify equations and reach correct answers. -Demonstrating the process of breaking down equations and understanding the concept of limits in mathematics. 2:01:17 Understanding and applying expansion in mathematics involves identifying terms and simplifying expressions step by step, leading to confidence and clarity in problem-solving. -Importance of mastering expansion techniques in mathematics for problem-solving and building confidence. -Step-by-step process of simplifying expressions by identifying terms and applying expansion rules. -The significance of clarity and practice in expanding expressions to enhance mathematical skills and problem-solving abilities. 2:11:41 Understanding the concept of expansion in mathematics is crucial as it simplifies calculations and helps in finding answers efficiently without the need for additional steps. -The importance of correctly applying expansion in mathematical calculations for efficient problem-solving and accurate results. -Exploring the significance of minimum expansion and its application in determining answers accurately and simplifying mathematical expressions. -Learning about the rules of L'Hôpital's Rule in calculus, which provide a systematic approach to evaluating limits and derivatives for complex functions. 2:21:25 Understanding the Hospital Rule in calculus involves replacing limits with easier limits to simplify calculations and avoid errors, ensuring correct outcomes in derivative calculations. -Explaining the concept of derivatives and the Hospital Rule in calculus for simplifying complex calculations and ensuring accurate results. -Demonstrating the application of the Hospital Rule in solving limit problems by replacing difficult limits with easier ones to facilitate accurate solutions. -Highlighting the importance of understanding and applying the Hospital Rule correctly to avoid errors and simplify derivative calculations in calculus. 2:31:31 Understanding the concept of converting zero power to infinity power and vice versa is crucial in mathematical calculations. Learning through practical examples helps in grasping complex mathematical concepts effectively. -Importance of understanding zero power and infinity power conversions in mathematical calculations. -Practical examples help in effectively grasping complex mathematical concepts. -Encouragement to participate in scholarship tests for academic growth and rewards. Generated by sider.ai
#3 •Denominator ka 0️⃣ : 1:15:43 1:18:21. 1:34:55 1:37:27 (Denominator mein 0️⃣ jyada h toh numerator ki power badhao jisse 0️⃣ oppar fit ho ske) 1:54:23 1:16:08 (Always start from denominator!!!) •1:19:41. 1:30:00 1:30:43 •1:25:08 •Listen to explanation of entire question again : 1:31:56 (Trigo limits mein hamein sin aur tan pasand h, lim tends to 0 pasand h, toh yaha tak pahuchne ki koshish kro) 1:33:12 1:46:07
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒 01:29 Weightage 01:56 *Index* 02:20 *Critical Topics* 05:34 *Concept of a LHL, RHL & Limits* 05:42 LHL-RHL Graphically 10:19 LHL-RHL Mathematically 14:16 Two Ways to Solve Limits 18:37 *Note:* When have problem with F.P.F 20:20 CONCEPT: Meaning of Limiting Value 21:44 Definition of Limit 22:45 *NOTE:* f(a) doesn't decide existence of Limit 26:24 Need for Evaluating Limits 28:35 Concept 31:04 *Indeterminate Forms* 32:05 *Methods for Evaluating Limits* 32:12 *① Factorization Method* 35:38 Using Substitution 37:18 *👁️🗨️bservation:* If lim f(x)/g(x) exists and f tends to 0 then g must tend to 0 39:35 *② Rationalization Method* 42:34 *∞/∞ Form (x ➙ ∞ or -∞)* 42:41 1ˢᵗ Variety 48:51 2ⁿᵈ Variety (x in powers) 51:02 3ʳᵈ Variety 54:36 *NOTE:* Evaluating x ➙ -∞ 55:53 *∞-∞ Form* 56:01 _🚬 Rationalize if Roots present_ 56:52 *Binomial Approximation* 1:01:19 *Situations were checking RHL & LHL is necessary* 1:03:59 *CONCEPT:* lim (1/x) when x ➙ 0⁺ or 0⁻ 1:06:26 Breaking Limits 1:07:20 *Algebra of Limits* 1:08:45 Applying Limits to Inquality 1:10:12 *Some Standard Limits* 1:10:29 *① Algebraic Limit* 1:11:58 ⚠️ Applying Limit should be your Last Step (Common Mistake) 1:15:35 _🚬 Focus on problem in Denominator First_ 1:18:38 *Trigonometric Limits* 1:18:50 Results 1:23:28 ⚠️ Mistake (Results are applicable when x ➙ 0) 1:25:05 _If you see x➙y_ 1:27:46 ⚠️ Situation when Results not applicable 1:32:04 _🚬 When x doesn't tends to 0_ 1:34:55 🚬 Focus on Denominator First 1:35:23 ⚠️ Common Mistake (Don't blindly start adjusting to obtain standard format, Adjust Denominator first) 1:39:06 👁️🗨️ (sin x)/x ➙ 1⁻ & (tan x)/x ➙ 1⁺ 1:40:47 *CONCEPT* 1:41:19 *Logarithmic Limit* 1:41:48 *Expansion of ln(1+x)* 1:49:41 *Exponential Limits* 1:49:57 Expansion of eˣ 1:51:55 Note: p, q, pq, 1 are factorisable 1:54:35 *1 ᪲ Format* 1:56:28 _🚬 Create 1 if reqd._ 2:01:17 *Limits using Expansion Series* 2:07:41 NOTE: (1+x)¹ᐟˣ where x➙0 2:16:02 _🚬 Applying expansion in Denominator_ 2:19:06 *L’Hospital Rule* 2:22:35 _🚬 We can apply LH Rule on a Part_ 2:25:55 _🚬 Finding Unknown, using LH to create additional eqn._ 2:32:14 Other Formats 2:32:41 *0 × ∞ Format* 2:35:39 *∞⁰ & 0⁰ Format* 2:38:00 *RESULT:* (zero)^(same zero) = 1 ⚠️ Sandwich Theorem not Covered
Time stamps 00 Introduction 1:55 Index and Critical topics 5:17 Concept of LHL, RHL & Limits 26:22 Methods of Evaluating limits 1:10:10 Some Standard Limits 1:54:34 format 1^infinity 2:01:16 Limits using expansion series 2:19:07 L' Hospital's rule 2:32:14 Format 0 x infinity, infinity^0 and 0^0
Sir its been like a blessing to have such a great math teacher like you on this platform. spending your several hours on us , so that we find maths an easy subject . love you sir i will always remember my entire life that once Arvind sir used to teach us
IMP QUESTIONS Shortcut for question 58:57 Q1 Could not solve : 1:15:40 Q2 Could not solve 1:28:06 Q3 could not solve 1:36:52 Q4 Could Not Solve 1:46:06 Q5 did not solve 1:53:14 Q6 Good Questrion and OP Trick 2:05:53 Q7 V GOOD Q 2:08:33 IMP POINRS 1:12:24 1:22:29 1:44:59 1:52:00 1:54:54
Om sir inorganic hemistry RA sir organic Arvind sir tarun sir maths Mohit sir and nikhil sir physical Saleem sir and namo kaul sir for physics Best teachers❤❤❤
Sir at 1:40:53 we have to check through rhl and lhl because for limit existence lhl=rhl therefore limit for[ sinx/x] does not exist .and we have check lhl and rhl for gif
One of the easiest chapter for me now, I was once scared of this chapter but I've practiced so many questions that I can even do adv level questions orally.
@@ruedusgreyrat2004 I haven't followed this for full chapter coverage, I did whole syllabus lectures from different teacher and then just practiced from 3 different books.
denominator ki highest power dekh ke numerator ko adjust krte hn taki x kaat jaye so in that step denominator me 1 power thi orr numerator me power 2 ki koi need nahi thi so coffeicient of x^2 zero ho gya. hope it helps
@@aarnavdhanesta730 pehli baat main phone pe dekh raha hu Dusri baat video rokne se agar solution dikh jata toh main comment hi nhi krta Sir apna body se solution dhak de rahe the or turant hata bhi diye isiliye maine comment krke sir ko request kiya
1:31:17 Ye jo que me x equal h pie cos² thetha ka aur ye niche denominator me sin(2pie sin² thetha) hai jiska mtlb to yhi h n ki sin( 2 pie sin2 thetha ) = x - pie h tbhi to sir formula lgaye h -tan(pie-x)/x-pie wali So my ques is ye denominator x- pie ke equal hua kaise ?
1:55:59 in this Question Can we take 2 Common Out?... I did this Question By taking 2 Common Out In numerator and denominator... and I matched with The Answer So i wanted to ask, is this Approach is Right or wrong?... please tell me
*(a^n-b^n)=(a-b) [ a^(n-1) ×b⁰ + a^(n-2) ×b¹.......+a¹ × b^(n-2) + a⁰ × b^(n-1) ] (where "n" can be any natural number)* *In this sum, "a" was "t" and "b" was "1" and "n" was "6"* *So* *(t⁶-1)= (t⁶-1⁶) = (t-1)(t⁵ × 1⁰ + t⁴× 1¹ + t³×1² + t²×1³ + t¹×1⁴ + t⁰×1⁵)=(t-1)(t⁵+t⁴+t³+t²+t+1)* *Hope you understand* *Please reply if you understood 👍👍*
I have doubt for droppers that mera abhi jee mains me 98 percentile ke aas paas me aa raha hai but me gujrat board ka student hu aur gujrat board ki exam me 75% result lana bohot mushkil hota hai aur mera abhi aayega bhi nahi But kya me next year improvement exam dunga to uske marks ke basis pe aur jee crack karne ke baad mujhe IIT/NIT mil sakte hai kya ? matlab me eligibilty criteria me rahunga na ?? Please answer me sir 🙏🙏🙇
That may be because sir taught tricks and skipped over the conventional method a little. If you don’t have someone you can ask, try exploring a good book for calculus like cengage or kc
@@kratimaheshwari1322it's trending to 0 × tending to infinity so infinity can be any no. And tending to 0 can also be any no. So we are not sure about the final no. So it's indeterminate form
He substituted x=-t and as you have seen in the previous problems we can understand that t+1 in the numerator and 1-t in the denominator don’t play any role in calculating the value, adding more to this he even tells us that by taking t cube common and cutting them off, Hence getting the answer.
00:08 Importance of studying Limits for JEE Main & Advanced
02:10 Limits in standard format and series expansion are important in this chapter.
07:27 Understanding RHL and LHL in function limits
10:05 Understanding limits of a function visually and mathematically
15:50 Understanding limits using the wise method
18:25 Understanding the concept of limits in fractions and approaching zero.
23:15 Piecewise defined functions have different values for different pieces.
25:22 Understanding limits and evaluating limits
30:10 Understanding indeterminate forms and methods
32:22 Factorization method for limits
37:07 Understanding the concept of limits in math
39:21 Rationalizing the expression x^1/3 - 1
44:11 Limits to infinity and the impact of largest term
46:26 Understanding limits as x tends to infinity
51:03 Understanding limits as n tends to infinity
53:27 Understanding limits as x approaches infinity
58:47 Calculating limits involving x and its common factors
1:01:09 Understanding the concept of limits and when to check RHL and LHL
1:05:50 Limits exist in some cases and not in others.
1:08:10 The value of power and limits explained
1:12:44 Understanding the concept of limits and the mistake of breaking the limit
1:15:01 Understanding the concept of limits and zeros below
1:19:34 Understanding the importance of making sin5x or x the same to make zero
1:22:08 Understanding the concept of limits and its importance
1:27:13 Understanding the concept of limit x trend
1:30:01 Understanding the concept of limits in trigonometry
1:34:51 Making the denominator happy to find the number of zeros below
1:37:05 Understanding the position of zeros and numerators in a polynomial
1:41:55 Summary of expansion and limits concepts
1:44:22 No need for manipulation in expansion
1:49:22 Limits require confidence and basic understanding
1:51:18 Understanding the concept of limits and factorization in solving equations.
1:56:12 Understanding the steps to solve limit problems.
1:59:21 Limits Class 11 summarized
2:04:21 Understanding the expansion and terms of the given expression.
2:06:49 Solving a complex question involving limits and properties.
2:12:09 Using expansion to solve limits
2:14:28 Managing life and planting Mentos
2:19:31 L'Hôpital's Rule helps find limits of indeterminate forms.
2:22:02 Replace tough limit with easier limit
2:26:52 Understanding non-zero value in limits
2:29:12 Establishing limits and limits conversion
2:33:46 Understanding the format of infinity and converting it
2:36:30 Limits of zero, infinity, and power explained
2:40:52 Understanding limits and zero power in calculus
goat
respect
Thankss bro
w respect bro . real CHAD
Why took so much pain bruh?
00:08 Focus on understanding Limits for JEE Main & Advanced.
02:10 Limits Class 11 covered with series expansion and L'Hospital Rule.
07:27 Understanding RHL and LHL in limits
10:05 Understanding limits and continuous functions at x=a
15:50 Discussion on limits and applying wise methods
18:25 Understanding limits and approaching values
23:15 Understanding piecewise defined functions
25:22 Understanding limits and their notation
30:10 Understanding Indeterminate Forms
32:22 Factorization method for finding limits
37:07 Understanding the concept of limits and substitutions in mathematics.
39:21 The video explains rationalization and simplification of limits.
44:11 Limits to infinity with highest term
46:26 Concept of limits and LCM in calculus
51:03 Understanding the concept of taking limits as n tends to infinity.
53:27 Understanding limits and infinity concepts
58:47 Limits of type 1 + x and 1/x
1:01:09 Understanding limits and when to check for RHL and LHL
1:05:50 Understanding limits and their properties
1:08:10 Limits approach infinity and equality in certain cases
1:12:44 Applying limit correctly is crucial for accurate calculations.
1:15:01 Understanding the concept of limits in mathematics.
1:19:34 Understanding the importance of making zero and dealing with degrees
1:22:08 Explaining the importance of right-hand and left-hand limits in limits class for JEE Main & Advanced.
1:27:13 Understanding the concept of limit as x tends to 0
1:30:01 Understanding the concept of limits as theta tends to 0.
1:34:51 Making the denominator happy is crucial for understanding limits
1:37:05 Understanding the positioning of zeros and using LCM to solve the problem.
1:41:55 Explanation of expansion and limits in a simple way
1:44:22 Expansion simplifies limits calculation
1:49:22 Limits and confidence in problem-solving
1:51:18 Understanding the concept of limits and factorization
1:56:12 Understanding the concept of limits in a simple manner
1:59:21 Understanding limits using expansion
2:04:21 Understanding the expansion and value of the given term
2:06:49 Solving a question involving the elimination method
2:12:09 Understanding the importance of expansion in limits
2:14:28 Managing life and simplifying expansions
2:19:31 L'Hôpital's Rule explains how to solve indeterminate limits.
2:22:02 Replace tough limit with easier limit
2:26:52 Limits can lead to non-zero values below zero
2:29:12 Understanding limits and evaluating expressions
2:33:46 Understanding the format of Infinity and its conversion
2:36:30 Understanding limits in infinity format
2:40:52 Understanding limits and power zero
Thank you
Thank you
You have used AI
L#4
•Why expansion is used? : 1:44:24. 2:16:02, 2:02:11, (expansion lagane ke baad aur kuch nhi krna hota, answer direct hi mil jata h)
•General Factorisation hack: 1:52:05
• 1️⃣ ^ ♾️ : 1:54:42 1:56:19
• LHopital: 2:24:03 (PF)
:)
Ye kya hai: 1️⃣^♾️
Ye le: 1 ᪲
The video covers the topic of limits in detail, including the concepts of LHL, RHL, and continuity. The speaker explains various methods to solve limit problems, such as factorization, rationalization, and L'Hôpital's rule. The video also discusses the importance of understanding the behavior of functions at infinity and handling indeterminate forms.
Key moments:
08:45 Understanding the concept of LHL and RHL in limits is crucial for solving functions. The relationship between RHL and LHL determines the value of a function at a specific point.
-Explaining the meaning and significance of LHL and RHL in limits. Understanding how the value of a function changes as it approaches a specific point from the left and right sides.
-Differentiating between LHL and RHL in the context of functions. Highlighting the importance of determining the value of a function at a particular point using LHL and RHL.
-Emphasizing the application of LHL and RHL in analyzing functions. Demonstrating how LHL and RHL help in evaluating the behavior of functions at critical points.
10:12 Understanding the concept of limits in mathematics is crucial for solving mathematical problems efficiently. Visualizing functions and applying mathematical methods help in simplifying complex equations.
-Visualizing functions and understanding how to write them mathematically is essential for solving mathematical equations accurately.
-Exploring the concept of limits and how they help in determining the value of functions in mathematical equations.
-Solving mathematical problems by applying basic methods and techniques, such as breaking down fractions and evaluating expressions.
20:17 Understanding the concept of limit in mathematics is crucial for evaluating functions accurately. Limiting values determine function behaviors and help in solving complex mathematical expressions.
-Explaining the importance of conceptual clarity in understanding limits for accurate function evaluation.
-Highlighting the significance of limiting values in determining function behaviors and solving mathematical expressions.
-Discussing the practical application of limits in evaluating functions and the role of limiting values in mathematical calculations.
30:29 Understanding the concept of limits is crucial in mathematics. By applying methods like factorization and rationalization, complex equations can be simplified to find accurate answers.
-Factorization and rationalization are fundamental methods in mathematics to simplify equations and find accurate solutions.
-Exploring the concept of limits and applying methods like factorization and rationalization to solve complex mathematical equations.
-Learning how to handle situations where limits approach zero and applying mathematical techniques like factorization and rationalization for accurate solutions.
40:36 Understanding the concept of limits in mathematics is crucial for solving complex equations involving infinity. Simplifying expressions by identifying the highest power terms is a key strategy in limit calculations.
-Solving equations involving infinity and limits is essential in mathematics for accurate results in complex calculations.
-Identifying and simplifying the highest power terms is a fundamental technique in limit calculations to determine accurate answers.
-Exploring different scenarios where the concept of limits and infinity play a crucial role in solving mathematical equations.
50:41 Understanding the concept of limits to infinity is crucial in mathematics as it helps simplify complex calculations and solve equations efficiently.
-Exploring the concept of negative infinity and its role in mathematical calculations.
-Utilizing shortcuts and basic methods to solve equations involving infinity, saving time and effort.
-Demonstrating the application of limits to infinity in mathematical calculations and problem-solving.
1:00:46 Understanding limits in mathematics involves checking the existence and value of a limit, which is crucial for solving mathematical problems effectively.
-Differentiating between limits that exist and those that do not is essential for accurate mathematical calculations and problem-solving.
-Exploring the concept of limits further by examining scenarios where limits approach zero and understanding the implications of power in mathematical expressions.
-Discussing the importance of strict inequality and equality in limits, and how including these concepts can impact mathematical outcomes and solutions.
1:10:52 Understanding limits and derivatives is crucial in mathematics. The process involves breaking down complex expressions and identifying common factors to solve equations effectively.
-Importance of breaking down complex expressions to understand limits and derivatives. It involves identifying common factors and simplifying equations for accurate solutions.
-The significance of recognizing real numbers and degrees in mathematical calculations. Real numbers play a vital role in determining the accuracy of limit calculations.
1:20:59 Understanding the concept of sign of 0 by sign of x and not of x, and the importance of careful consideration in mathematical calculations, is crucial for accurate results.
-Importance of recognizing the significance of real numbers and the role of radians in mathematical calculations.
-The importance of correctly interpreting mathematical formulas and the impact of zero values on calculations.
-The significance of understanding trigonometric concepts and the implications of zero values in mathematical expressions.
1:39:46 Understanding limits in mathematics is crucial for solving complex problems. Recognizing the behavior of functions as they approach certain values is essential for accurate mathematical analysis.
-Importance of recognizing the behavior of functions near specific values for accurate mathematical analysis.
-The concept of limits and how it impacts the behavior of functions in mathematical equations.
-Different approaches to understanding limits and their significance in mathematical calculations.
1:41:07 Understanding the concept of limits and exponentials is crucial in mathematics. Manipulating expressions involving limits and exponentials simplifies problem-solving and leads to accurate answers.
-Manipulating limits and exponentials helps in problem-solving and obtaining accurate results in mathematics.
-The importance of understanding and applying limits and exponentials in mathematical calculations.
-Solving algebraic equations involving limits and exponentials requires careful manipulation and understanding of the concepts.
1:51:11 Understanding mathematical concepts like limits and powers is crucial for solving equations effectively. It is important to break down complex equations into simpler terms to reach accurate solutions.
-Importance of adjusting and setting limits in mathematical equations for accurate solutions.
-Utilizing powers and factors to simplify equations and reach correct answers.
-Demonstrating the process of breaking down equations and understanding the concept of limits in mathematics.
2:01:17 Understanding and applying expansion in mathematics involves identifying terms and simplifying expressions step by step, leading to confidence and clarity in problem-solving.
-Importance of mastering expansion techniques in mathematics for problem-solving and building confidence.
-Step-by-step process of simplifying expressions by identifying terms and applying expansion rules.
-The significance of clarity and practice in expanding expressions to enhance mathematical skills and problem-solving abilities.
2:11:41 Understanding the concept of expansion in mathematics is crucial as it simplifies calculations and helps in finding answers efficiently without the need for additional steps.
-The importance of correctly applying expansion in mathematical calculations for efficient problem-solving and accurate results.
-Exploring the significance of minimum expansion and its application in determining answers accurately and simplifying mathematical expressions.
-Learning about the rules of L'Hôpital's Rule in calculus, which provide a systematic approach to evaluating limits and derivatives for complex functions.
2:21:25 Understanding the Hospital Rule in calculus involves replacing limits with easier limits to simplify calculations and avoid errors, ensuring correct outcomes in derivative calculations.
-Explaining the concept of derivatives and the Hospital Rule in calculus for simplifying complex calculations and ensuring accurate results.
-Demonstrating the application of the Hospital Rule in solving limit problems by replacing difficult limits with easier ones to facilitate accurate solutions.
-Highlighting the importance of understanding and applying the Hospital Rule correctly to avoid errors and simplify derivative calculations in calculus.
2:31:31 Understanding the concept of converting zero power to infinity power and vice versa is crucial in mathematical calculations. Learning through practical examples helps in grasping complex mathematical concepts effectively.
-Importance of understanding zero power and infinity power conversions in mathematical calculations.
-Practical examples help in effectively grasping complex mathematical concepts.
-Encouragement to participate in scholarship tests for academic growth and rewards.
Generated by sider.ai
I was about to write kitna nalla hai tu then realised it's AI lol
@@HITANSH_JEE2i was about to write that he is berojgaar 😂😂😂😂😂😂😂😂😂
Well, you could just write nice lecture instead of copy pasting 😂😂😂
#2
51:11 52:25 54:32
Using BT of (1+x)^n for |x|
Fkxm
#3
•Denominator ka 0️⃣ : 1:15:43 1:18:21. 1:34:55 1:37:27 (Denominator mein 0️⃣ jyada h toh numerator ki power badhao jisse 0️⃣ oppar fit ho ske) 1:54:23 1:16:08 (Always start from denominator!!!)
•1:19:41. 1:30:00 1:30:43
•1:25:08
•Listen to explanation of entire question again : 1:31:56 (Trigo limits mein hamein sin aur tan pasand h, lim tends to 0 pasand h, toh yaha tak pahuchne ki koshish kro)
1:33:12 1:46:07
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
01:29 Weightage
01:56 *Index*
02:20 *Critical Topics*
05:34 *Concept of a LHL, RHL & Limits*
05:42 LHL-RHL Graphically
10:19 LHL-RHL Mathematically
14:16 Two Ways to Solve Limits
18:37 *Note:* When have problem with F.P.F
20:20 CONCEPT: Meaning of Limiting Value
21:44 Definition of Limit
22:45 *NOTE:* f(a) doesn't decide existence of Limit
26:24 Need for Evaluating Limits
28:35 Concept
31:04 *Indeterminate Forms*
32:05 *Methods for Evaluating Limits*
32:12 *① Factorization Method*
35:38 Using Substitution
37:18 *👁️🗨️bservation:* If lim f(x)/g(x) exists and f tends to 0 then g must tend to 0
39:35 *② Rationalization Method*
42:34 *∞/∞ Form (x ➙ ∞ or -∞)*
42:41 1ˢᵗ Variety
48:51 2ⁿᵈ Variety (x in powers)
51:02 3ʳᵈ Variety
54:36 *NOTE:* Evaluating x ➙ -∞
55:53 *∞-∞ Form*
56:01 _🚬 Rationalize if Roots present_
56:52 *Binomial Approximation*
1:01:19 *Situations were checking RHL & LHL is necessary*
1:03:59 *CONCEPT:* lim (1/x) when x ➙ 0⁺ or 0⁻
1:06:26 Breaking Limits
1:07:20 *Algebra of Limits*
1:08:45 Applying Limits to Inquality
1:10:12 *Some Standard Limits*
1:10:29 *① Algebraic Limit*
1:11:58 ⚠️ Applying Limit should be your Last Step (Common Mistake)
1:15:35 _🚬 Focus on problem in Denominator First_
1:18:38 *Trigonometric Limits*
1:18:50 Results
1:23:28 ⚠️ Mistake (Results are applicable when x ➙ 0)
1:25:05 _If you see x➙y_
1:27:46 ⚠️ Situation when Results not applicable
1:32:04 _🚬 When x doesn't tends to 0_
1:34:55 🚬 Focus on Denominator First
1:35:23 ⚠️ Common Mistake (Don't blindly start adjusting to obtain standard format, Adjust Denominator first)
1:39:06 👁️🗨️ (sin x)/x ➙ 1⁻ & (tan x)/x ➙ 1⁺
1:40:47 *CONCEPT*
1:41:19 *Logarithmic Limit*
1:41:48 *Expansion of ln(1+x)*
1:49:41 *Exponential Limits*
1:49:57 Expansion of eˣ
1:51:55 Note: p, q, pq, 1 are factorisable
1:54:35 *1 ᪲ Format*
1:56:28 _🚬 Create 1 if reqd._
2:01:17 *Limits using Expansion Series*
2:07:41 NOTE: (1+x)¹ᐟˣ where x➙0
2:16:02 _🚬 Applying expansion in Denominator_
2:19:06 *L’Hospital Rule*
2:22:35 _🚬 We can apply LH Rule on a Part_
2:25:55 _🚬 Finding Unknown, using LH to create additional eqn._
2:32:14 Other Formats
2:32:41 *0 × ∞ Format*
2:35:39 *∞⁰ & 0⁰ Format*
2:38:00 *RESULT:* (zero)^(same zero) = 1
⚠️ Sandwich Theorem not Covered
🙏🙏
#1
8:19 8:43 9:02
18:40
22:36 24:30
25:41
27:51
30:31
Types : 32:08 39:33 42:33
Substitution: 37:02 41:07
♾️ : 45:49 46:18 49:03 50:18
ben bhai kisto me kyu type kar rhe ho aapke cricket carrer ke tarah
Ben stokes
Time stamps
00 Introduction
1:55 Index and Critical topics
5:17 Concept of LHL, RHL & Limits
26:22 Methods of Evaluating limits
1:10:10 Some Standard Limits
1:54:34 format 1^infinity
2:01:16 Limits using expansion series
2:19:07 L' Hospital's rule
2:32:14 Format 0 x infinity, infinity^0 and 0^0
1:28:14 The sound of writing here was a vibe
Please observe the mistake in 47:55 it is x^2(1-a)+x(1-a-b)+(1-b)
Take 1-a-b=4 then b=-4,a=1(as proven in the video) a+b=-3
I hope it helps
personal notes:
36:00, 50:20, 57:00, 1:12:12, 1:19:49, 1:34:55 , 1:55:00, 2:01:50, 2:35:30
Bhai ki new job 😂
Sir its been like a blessing to have such a great math teacher like you on this platform. spending your several hours on us , so that we find maths an easy subject . love you sir i will always remember my entire life that once Arvind sir used to teach us
Bookmark 🔖
42:30 to 1:01:15
1:39:26. 1:54:32 before 1^infinity
2:36:44 , answer should be 1.
syllabus completed?
1:05:10 Toh devanshu yaha se bhaag jata hai was epic 😂
IMP QUESTIONS
Shortcut for question 58:57
Q1 Could not solve : 1:15:40
Q2 Could not solve 1:28:06
Q3 could not solve 1:36:52
Q4 Could Not Solve 1:46:06
Q5 did not solve 1:53:14
Q6 Good Questrion and OP Trick 2:05:53
Q7 V GOOD Q 2:08:33
IMP POINRS
1:12:24
1:22:29
1:44:59
1:52:00
1:54:54
why is limits sooo toughhh🥲
Are you in class 11?
Really?
Bhai tu kamzor h limit tuff nhi h
@@SR_SAMEER_05advanced ke question du? Tatti nikal jayegi
Ye maine question laga ke bole h
1:20:22 I have asked sir he told he will tell but he never told 😅me
UST is on the dates 11 and 25...so is it till 11-25 ...or they are just separate dates.
2:28:34 wait, what the heck, the colour of the pen automatically changed when it passed through question area.
Bhai yeh chapter bahut hard ha kya karu 😢😢
Dhyan se deko sir ne colour change kiya hai
Om sir inorganic hemistry
RA sir organic
Arvind sir tarun sir maths
Mohit sir and nikhil sir physical
Saleem sir and namo kaul sir for physics
Best teachers❤❤❤
Not namo pls, he was the most controversial figure of Unacademy once, it's rajwant sirwho is at par with saleem sir
32:17 note
43:59
45:51
1:01:08
1:06:49
1:21:48
1:25:06
1:45:00
2:24:00
36:45 limit x tends to 1 bruhhhhbruhhh
T tends to 1
❤❤JAI SHREE RAM JI 😊🙏 JAI SHREE KRISHNA JI 😊🙏
THANK YOU SO MUCH SIR JI 😊🙏
1:54:33
1 to the power infinity
Sir at 1:40:53 we have to check through rhl and lhl because for limit existence lhl=rhl therefore limit for[ sinx/x] does not exist .and we have check lhl and rhl for gif
best teacher no doubt
Yess 👍
THANK YOU SO MUCH SIR JI 🙏
1:23:08 Didn't understand the 4th quadrant thing. Can someone rephrase what sir said?
mod 0 se less ke liye negative mein open hota hai hamesha isme quadrant dekhne ki zaroorat nahin hai
Can someone explain 1:36:56 ki upar se do x kaat kar niche x² ki jagah x³ kaise bach gaya please help 🙏
1:49:16 Sir isme direct ln ( 1 + (tan x - 1)/-(tan x - 1) banake direct bhi answer aa jaayega
2:09:30
2:16:13
2:24:20
1:43:04 please explain the kala jadu done here
Log (m+n) ko logm(1+n/m) likha... Then logm + log(1+n/m) mai toda... Log ki property hoti hai.. (Log mn=logm +logn)
@@mohammedsharique1234τhαηk̂σ βhαî
Completed in one sitting (5hr 30mins) with notes!
One of the easiest chapter for me now, I was once scared of this chapter but I've practiced so many questions that I can even do adv level questions orally.
syllabus pura hai yaha ?
@@ruedusgreyrat2004 I haven't followed this for full chapter coverage, I did whole syllabus lectures from different teacher and then just practiced from 3 different books.
32:20 maine questions kaat hi kaat di🥲🥲
😂
10:05 limits of a function
wheres sandwich theorem??
Kha gye sir
In his stomach
Can someone explain how did that step at 47:11 came?
denominator ki highest power dekh ke numerator ko adjust krte hn taki x kaat jaye so in that step denominator me 1 power thi orr numerator me power 2 ki koi need nahi thi so coffeicient of x^2 zero ho gya. hope it helps
@@freezy6204 okay got it thanks 👍🏻
2:22:18 ans willbe 1/3
52:46 point to remember
After a long time I completely understood limits
Thanks Bhai 🔥🔥🔥
i also understood my limits
2:07:43
You can be air 1
Yes I will be ❤
Yes I will be❤
From back?
😖😞
Heros 🫵🗿
Sir thoda side ho jaya kariye
Solution dekhne ka aap time hi nhi dete
press K on the keyboard it will stop the video
@@aarnavdhanesta730 pehli baat main phone pe dekh raha hu
Dusri baat video rokne se agar solution dikh jata toh main comment hi nhi krta
Sir apna body se solution dhak de rahe the or turant hata bhi diye isiliye maine comment krke sir ko request kiya
1:31:17 Ye jo que me x equal h pie cos² thetha ka aur ye niche denominator me sin(2pie sin² thetha) hai jiska mtlb to yhi h n ki sin( 2 pie sin2 thetha ) = x - pie h tbhi to sir formula lgaye h -tan(pie-x)/x-pie wali
So my ques is ye denominator x- pie ke equal hua kaise ?
Amazing session sir and please take remaing class 11th chapters very soon ❤❤❤
1:58:26 pardon me but thats log and not ln the bases are diff… and i dont think that will be correct please check
1:55:59 in this Question Can we take 2 Common Out?...
I did this Question By taking 2 Common Out In numerator and denominator... and I matched with The Answer
So i wanted to ask, is this Approach is Right or wrong?... please tell me
Yeah but make sure your answer is correct
2:18 the way sir said god bless you was soo prettyyyyyyy😭🥹
Arvind Sir is the best mathematician and mathematics teacher in the world.
Sir
Bilkul sahi
Mast padhate hein ap
1:20:05
Mene pucha sir
Pdf?
Jai Hanuman Ji
Jai hanuman ❤
Jai hanuman
Is this lecture sufficient for jee mains and advanced or just enough for CBSE
Thank u sooo much sir, it is very easy to understand when u teach
2:36:37 Sir waha par e^0 hogana jisse ans 1 aajayega
ha re galti se likha hoga
ye sab understood hai
bhai correct karne mai kya dikkat hai galti kisi se bhi ho sakti hai isliye bas niche likh diya @@Mayuresh077
Bhai koi batado ki sir ne t⁶ ko t⁵t⁴t³t²t¹ mein kaise kiya 😢
*(a^n-b^n)=(a-b) [ a^(n-1) ×b⁰ + a^(n-2) ×b¹.......+a¹ × b^(n-2) + a⁰ × b^(n-1) ] (where "n" can be any natural number)*
*In this sum, "a" was "t" and "b" was "1" and "n" was "6"*
*So*
*(t⁶-1)= (t⁶-1⁶) = (t-1)(t⁵ × 1⁰ + t⁴× 1¹ + t³×1² + t²×1³ + t¹×1⁴ + t⁰×1⁵)=(t-1)(t⁵+t⁴+t³+t²+t+1)*
*Hope you understand*
*Please reply if you understood 👍👍*
Formula hai...
Binomial theorem se
Magic
Thank you so much sir, you truly make maths seem much easier for me.
Sir, why you not cover sandwich theorem?
Tujhe jo padhaya gaya hai uspe dhyaan de. Sandwich theorem se kuch nahi hota
1:46:22 yaha pe sir ne aachi chalaki dikhaye 😂 unki mistake change kar di lag ke bahane
37:05 The Answer should be 1/9 right?
As there is a square (i.e) (t^2 + t + 1)^2
Yeah stucked at the same
I was also stuck at that 😭
I relaxed after finding your comment😅
46:59 kese hua??
2 ghanta ka lecture 3 din mein khatm nahin hua😅😢
Kyu ?
Mera to 1 week sa chaal raha h
@@anuragmondal pressure h bro ghar k kam ka ( jimmedari )
Bhai please come out with more session like this of 11 remaining chapters probability, statistics, trigno2 ,
Bhai yeh chapter bahut hard kya karu
@@AtaWaris9999 bhai chapter samajh ke module laga le
Sir pls do derivatives as soon as possible
2:07:37 review
2:10:00 review
IMPORTANT POINT TO REMEMBER
20:09
the best maths teacher i have everr seeennn...thankyouu sir.
heyyy...are limits and derivatives different chapters????
Sir in 1st standard form of limits the rhs looks same has derivative of x^n
ʙʜᴀɪ ᴇᴋ ʀᴇǫᴜᴇsᴛ ʜᴀɪ ᴊᴏ ᴀᴀᴘ sᴀɴɢʜᴀʀsʜ sᴇʀɪᴇs ᴍᴀɪɴ ʀʀʀ sᴇ ᴛᴏᴜɢʜ ǫᴜᴇ ʟᴀɪʏᴇɢᴀ ᴘʟᴇᴀsᴇ ❤️❤️❤️❤️❤️❤️❤️❤️❤️
Sir unable to download the notes from Nexus play list pdf😢
It is there in the description
can i refer to this video for college level maths? i am not a jee aspirant
college level? no i'd not recommend , maybe upto a jee mains level at max , i'm a jee aspirant
1:27:32 sir vo dusra ratio 1 kyu nhi hoga
Please we need this in English 😢. Subtitle will be perfect
your fault not learning hindi😂😂
Best explanation I was able to give answers in my coaching
Aa gya nazare ❤❤❤... mera bhai...Mera bhai
48:53 finally stopped
29:32 sir summoned mahoraga
22:35 1st point
2:13:7 how is it 1/8
Sir bot achha padha rahe ho aap aur lecture dalo😊
I have doubt for droppers that
mera abhi jee mains me 98 percentile ke aas paas me aa raha hai but me gujrat board ka student hu aur gujrat board ki exam me 75% result lana bohot mushkil hota hai aur mera abhi aayega bhi nahi
But kya me next year improvement exam dunga to uske marks ke basis pe aur jee crack karne ke baad mujhe IIT/NIT mil sakte hai kya ? matlab me eligibilty criteria me rahunga na ?? Please answer me sir 🙏🙏🙇
nahi bhai
U can
If u r not dropper
Kuchh samajhme nahi aaya 😢 phir bhi puri video dekhi 🥲
That may be because sir taught tricks and skipped over the conventional method a little. If you don’t have someone you can ask, try exploring a good book for calculus like cengage or kc
Why 0× infinite is indeterminate form
As it's value is 0 always
@@kratimaheshwari1322it's trending to 0 × tending to infinity so infinity can be any no. And tending to 0 can also be any no. So we are not sure about the final no. So it's indeterminate form
Thank you very much for this session Sir!
Yaaaay completed it in one short 🎉🎉🎉🎉
bhai topicwise detailed lectures bhi karwa do
Sir please continue it❤
Sir yahan pe kya hua 😢 55:41
Ye ktt kaise gaye
He substituted x=-t and as you have seen in the previous problems we can understand that t+1 in the numerator and 1-t in the denominator don’t play any role in calculating the value, adding more to this he even tells us that by taking t cube common and cutting them off, Hence getting the answer.
54:15 Yaha par nazaarein aa gye 💀👍
Samajh hi kaha aaya
Sir notes pdf se download nahi ho raha hai... previous lecture ka bhi notes download nahi kor Paya 😢😢😢😢
Telegram pe toh available hi nhi hai notes 😢
Ho to rha Hai bhai vaapis try karle
@@AK_Y0UTUBEaree Bhai likha tha live chat mai koi response nhi deta...😢 Mai bahut bar likha chat pe but not responding 😢😢
Mko telegram pe notes nhi dikh rhe 🥲🥲
This lecture's notes are there in the description
Best teacher in word❤❤❤❤❤❤
One of the legend in mathematics ❤
2X❤ THIS IS HOW REVISE❤❤❤
5:17 it starts 😊