nhi bhai use prove karne ke aur bhi tarike hain geometry se bhi hota hai curcle ke tangent ko extend karke radius se join karte hue jo triangle banta hai uska area nikal ke
REALLY SIR SUCH A BEAUTIFUL QUESTION MAINE LIMITS ME ACHE SE ACHE SAWAAL KRE HAI BUT ISE DEKH KR MAJA AYA BAS CHOTI SE CHEEZ KI REPLACEMENT NE PURI SOLN KO EASY BANA DIYA!
Thanks sir, Use LH Rule to get lim as (1-cosx)/ 3x^2. Now that std result is lim ( 1-cosx) / x^ 2 is equal to 1/2 we get the required limit as 1/2x 1/3 = 1/6.
Exponent is 1 + √(x-1 +1) = 1 + √ ( 1+ h) = 2 +h/2 + higher order smallness = 2 + fraction Any -ve number raised to the power 2 +fraction results in A positive number times a complex number for a = 2 LHS becomes a complex number and cannot be equal to a real number viz (1/4)
Sir..I am MSc Geophysics student of BHU. I watch your videos because I love maths and your teaching style. Iss type ke aur questions ka intzar rahega sir
But in proving of lim c-->o sinc/c = 1 We have to use expansion, so this is not the solution.So in orginal paper proof of this must also have been given using another method
Our sir gave this solution in class, including series and Lhospital. Told that this is a very specific approach to this question, and isn't that useful in general
Sir solved using sinx=x-x³/3! +x⁵/5!........ x will subtracted and x³ will divide the sequence now left sequence is 1/3-x²/5! ..... Now puting lim x approaches zeo so therefore ans is 1/6
Sir Bring more such questions with concepts that have now been discarded.
Exceptional teaching from you
The way you teach is excellent......
Yes sir. Make such videos... One thing is for sure "Subjective IIT-JEE was awesome! "
Question ta darun chilo
Bro subjective questions of 2000's are too good in Physics and maths
Sir please continue, we are with you.
Sir I know this question I have solved it in A Das Gupta book
Solution:
1.)General Method
2.)L'H Rule
3.)Expansion
It was good question...
Yes sir बनाइए ऐसे विडियोज।
Hats off 2 u sir, 4 ur efforts..u r a gem..
New language is created:-"Mathenglish"😂
Sin x /x =1 में series एक्सपेंशन use हुआ है
nhi bhai use prove karne ke aur bhi tarike hain geometry se bhi hota hai curcle ke tangent ko extend karke radius se join karte hue jo triangle banta hai uska area nikal ke
Congrats sir for 200K subs♥️😚🥳🥳🥳
lallantop sir 😮
Love the rare solution ❤❤
GREAT SIR ❤❤❤❤
bas maja aa gaya sir.....
Mai literally aap ki videos dekhte dekhte maths ki diwani ban gayi....
Descriptive questions were also asked before. Very good times. Today's JEE Adv is very hard.
Yes sir plz make videos on such questions
Sir plz get us more questions like this... I really enjoy doing such questions and learning techniques to get to the answers
Loved this approach 😮
Maza agaya sir kya question hai👌👌
REALLY SIR SUCH A BEAUTIFUL QUESTION MAINE LIMITS ME ACHE SE ACHE SAWAAL KRE HAI BUT ISE DEKH KR MAJA AYA BAS CHOTI SE CHEEZ KI REPLACEMENT NE PURI SOLN KO EASY BANA DIYA!
You are such a good mathematician 😎
Using expansion 1line question
x-x+x3/3!/x3=1/6
did the same loo
Do yellow exercise (kaan saaf karle)
East or west you are the best 😊
Mja aa gya sir ji. Isi tarah ka question le ke aate rhna sir
Yes sir please continue........
Bohot tagra question tha
Love from ban🇧🇩🇧🇩🇧🇩
Sir please bsc maths ki bhi class ap start karyaye na....🥺🥺🥺🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻
Thanks sir,
Use LH Rule to get lim as (1-cosx)/ 3x^2.
Now that std result is lim ( 1-cosx) / x^ 2 is equal to 1/2 we get the required limit as 1/2x 1/3 = 1/6.
चुटिया que. Me likha hai LH rule nhi likha
Yes sir please continue
What a questions thank u sir🙏
adhbhut solution❤❤❤❤
Exponent is 1 + √(x-1 +1)
= 1 + √ ( 1+ h)
= 2 +h/2 + higher order smallness
= 2 + fraction
Any -ve number raised to the power 2 +fraction results in
A positive number times a complex number
for a = 2
LHS becomes a complex number and cannot be equal to a real number viz (1/4)
Sir pure 30 minutes Tak laga raha . Bahoot kuch try Kiya but nahi ho paya. Now seeing the solution. Please continue these types of questions please
Heart touching solution
Congrats for 200K subs sir
this method gives goosebumps .....❤❤❤❤❤❤
wonderful answer, thinking or approach sir ....... really beautiful 😍
More questions please sir I love your explanation my interest in math is increased ❤❤❤❤❤❤❤
Sir kya hm koi sa bhi func rkh skta hai Jo o ki taraf tend kr rha hi
But you sir didn't you used the result of [(sinx/x) -> 1] at 7:20 which come from L hospital or series expansion. If i am wrong then anyone correct me
Prove it by geometry then 😂
Areyyy😂😂😂...
Kon kaha vo lopital se hi aata
@@Cm-zc2zx actually it's l'hospital first, and thnx for reminding me that the result doesn't come from that way only
@@AbhiRaj-ip9sp kal keyboard lag marra tha to...
😅😅
It can be proved by geometry as. Consider a arc of circle subtending an angle x at centre then show that area of sector> area of triangle >
7:18 Can anybody explain how (sinx/x)=1? Since, x →0 so it should become undefined.
Its approching to 1
Not equal to 1
Sir..I am MSc Geophysics student of BHU. I watch your videos because I love maths and your teaching style. Iss type ke aur questions ka intzar rahega sir
Bhaiya msc geophysics bhu entrance exam 2024 ke liye kise padhu mai DDU gkp se hu
@@amitpandeynirbhay previous year dekh ke zyada aane wale topics ko likho aur unhi ko practice kro
@@ajaydubey2325thankyou bhaiya
Sir apna is question ko limits ma L - hospital vala lecture ma bataya tha 😊
Sir please make some more videos on these , these are very helpful to us 💜💜💜💜💜💜
VERY NICE QUESTION I LOVED IT SIR AND I CAN EASILY UNDERSTAND THE QUESTION EXPLAINED BY YOU
Sir aap ka class live kb se chlta hai
Sir chapter wise Advance level ke sawaal k video bana do
Maja agya sir more tough questions
Sir physics ka bhi lecture laaiye naa 🙏🏻🙏🏻🙏🏻
Yes sir continue this series.
Loved ❤ it
Sir aapne lekin sinx/x ka answer directly jab 1 likha tab aapne l'hospital ya series expansion hi to use kiya na ?
best approach for solution like 3x sir you are great
Kya easy saval tha sir ....
Mind-blowing Sir 🎉😅
Limits ne hila dala yaar poora
Cute question and way too easy
Awesome question 🎉
Yes sir we want these type of amazing solution❤️💚
Maja agaya Ekdam😊
Sinx ko expand kar ke bhi easily solve Kiya ja sakta hai 😊
Gajjab
Love your these videos sir❤❤🔥
Yes sir make such amazing videos on old iit jee subjective questions
But in proving of lim c-->o sinc/c = 1
We have to use expansion, so this is not the solution.So in orginal paper proof of this must also have been given using another method
lim x tends to 0 sinx/x can be proved without using expansion too.........using geometry............so the solution given by sir is legit and correct.
Wonderful solution sir❤
sir kuch question log and its properties pe be laye :)
Love you sir ❤️❤️
Yes sir new question jee advance
I love maths very much
Sir , complex numbers ke lectures jo missing h vo complete Kara do please
One more weapon is added to my inventory
Sir Aap Bsc ki maths prasandhaiye please
Dear Bhannat bhai, you are a very good teacher. I would like to correct you that it is not L- Hospital rule but Lopital rule.
Sir series expansion se kar sqkste hain??
Yes sir ☺️
Just brilliant thnku
2 second me pura approach question dekhke hi
Dimag me ban gya
I love your method
We want more videos like this
Wow
Very easy question sir
Thank you sir
Nice soln sir...
Sir "L Hospital"rule isse pronounce karte h ya "Lopital rule "?? Aapne dono ka istemal kiya hai 🙏
Lopital rule hota ha i guess
Sir plz bring more questions like this❤❤❤❤❤❤
Yes sir. Please make more
We need more questions sir , love from Bangladesh.
Sir please ese question laate rahiye iit jee ke advance ke pls sir it's a request and many other books se bhi it helps us
Sir golden ratio pe ek video bana Dijie please
Mera bhi aagya 🎉🎉
Beautiful question
Sir x/x^3 - sin x /x^3 alag kar ke
X ko 3x kar do toh bhi ho jayega kya ?
Edit zero ho jayega
@Edunitian -- Manjit zero ho jayega
Sir how can we also get subjective papers.....please tell us....and make more videos like this.....loved and enjoyed it a lotttt😍
By expanding sinx using Taylor series, ltx-->0 {(x) - (x - x^3/3! .... )}/x^3 = 1/3!= 1/6
Bhai series expansion nahi use karna diya hai na question mein😑
yes sir go for it
Sir,asha mind use kaise kare?
I am studying in STD 11(starting)
Expansion se direct👍
Our sir gave this solution in class, including series and Lhospital. Told that this is a very specific approach to this question, and isn't that useful in general
Sir solved using sinx=x-x³/3! +x⁵/5!........ x will subtracted and x³ will divide the sequence now left sequence is 1/3-x²/5! ..... Now puting lim x approaches zeo so therefore ans is 1/6
Sorry 1/3! And not sequence but it's a series
We can use series expansion as well(sin x=x-x^3/6+....
But that is not allowed in this question
@@brooklynyt5873who said lol
Sir why didn't we separate the x/x³ and sinx / x³ in first step and then use sinx/x = 1 giving limit as 0 ?