Cauchy's Second theorem on Limits proof and examples : Sequence of real numbers: L-12
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- เผยแพร่เมื่อ 12 ต.ค. 2024
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Sequence of Real Numbers | Range of Sequence | Bounded and Unbounded Sequence | Real Sequences : 01
• Sequence of Real Numbe...
Monotonic Sequence, Eventually Monotonic Sequence with examples | Sequence of real numbers : 02
• Monotonic Sequence, Ev...
Subsequence of a Sequence | Complimentary Pair of Subsequences | Sequence of real numbers : 03
• Subsequence of a Seque...
Limit Point of a Sequence, Bolzano-Weierstrass Theorem | B-W Theorem | Sequence of real numbers: 04
• Limit Point of a Seque...
Limit of a Sequence | Difference between Limit and Limit Point | Sequence of real numbers: 05
• Limit of a Sequence | ...
Convergent, Divergent and Oscillatory Sequence | Sequence of real numbers: 06
• Convergent, Divergent ...
Convergent Sequence Examples | Convergent Sequence | Sequence of real numbers: 07
• Convergent Sequence Ex...
Convergent Sequence Examples | Convergent Sequence | Sequence of real numbers: 08
• Convergent Sequence Ex...
Cauchy Sequence with examples/ Fundamental Sequence | Sequence of real numbers: 09
• Cauchy Sequence with e...
Cauchy's General Principle of Convergence of Sequence (Proof and examples) : 10
• Cauchy's General Princ...
Cauchy's First theorem on Limits proof with 2 examples : Sequence of real numbers: 11
• Cauchy's First theorem...
PLAYLISTS LINK :
1. Cauchy integral formula and proof
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2. Maxima & Minima (Extreme Values)
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3. ε-δ Definition of Limit
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4. BSc Mathematics
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5. Conformal Mapping
• Conformal Mapping
6. Complex Analysis
• Complex Analysis
7. Singularity and Residue
• Singularity and Residue
8. Differential Equation of first order & first Degree
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9. Differential Equation
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10. Point Set Topology in Real Analysis
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11. Countability of Sets (Real Analysis)
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12. Sequence of Real numbers
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#RealSequences
#RealAnalysis
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#IITJAM
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Thank you so much for creating this series dear sir.
I'm not a maths student exactly and I had started this series out of an intent to learn only a few things and basics only, but since everything was connected with each other I realised that I'd have to learn so many things which made me feel that this journey would be a difficult one, but ever since I had watched your videos and things didn't seem difficult yet the complete opposite I wasn't only understanding things with ease only but instead I was also enjoying everything and I slowly understood that whatever was being taught wasn't being taught by someone ordinary, but one of the best teachers or I'd say one who's a real and true teacher by his essence, one that radiates his positivity and driven by a deep passion and urge to teach itself, which made me curious more to watch and learn and most importantly enjoy the process of learning because of your videos and today I've just ended completing your whole Real Analysis series.
Though, I'm quite happy and proud to have completed this whole series yet I also feel equally or perhaps more sad because it also means I don't know when's the next time I'd be able to hear that happy upbeat guitar intro and your happy radiating face welcoming me to the video with your lovely greeting "Hello doston, me Nikhil Gupta swagat karta hoon aapka iss video me.." which I'd always long for to hear again, though you only taught me from a screen and you never met me in person and yet you've managed to move me and form a person connection that a student feels to his teacher, you're more than a teacher, a brother and also a friend. Truly, you're a remarkable and extra-ordinary teacher sir and I feel quite blessed that today is also Teacher's day and I'm able to write a very infinitely small amount of gratitude and thanks that I feel for the existence of a teacher such as yours though no words will be enough to describe my gratitude for you so I'll only say.
Happy Teachers Day NIkhil Gupta Sir! 💐💐💐💐💐💐💐💐💐💐💐
I wish you all the success, happiness and good things in your life from the bottom of my heart. I hope our paths cross again someday.
Yours Truly
A student that you moved and blessed
(out of uncountable many, C)
Rishi.
Sir can you update us with your new whatsapp number? I want to practice more questions on differential equations
And sir also aapke telegram k groups disabled show hore hai due to copyright
Hamare *Nikhil sir Duniya ke sabse Best Teacher hain* ♥️♥️♥️🙏🙏🙏
Esme koi sakk hai kya
Hmm yrr❤️❤️ Nikhil sir is my favourite teacher
Ya sister
Can anybody share the link of telegram channel of ingnited mind?
Sir we miss you, you did promise you will be back but u remove the video of your commitment,,
Apk ane tk hmari degree complete ho jayegi ese ho,,, please sir make more Vedios of msc2sem complex analysis
Sir, please make more videos.. please.. your teaching method is just superb! Please make more videos
Sir u r one of the best teacher bcoz of u I m able to understand toughest topics of maths with proper visualisation 🙏🙏🙏🙏
Sir plzzzzz make videos on abstract and linear algebra 🙏🙏🙏🙏it's s humble request to u and I m sure that if u make video on that topics, it will help alot to the students like me who has problems in understanding tha concept of abstract algebra and linear algebra 🙏🙏🙏🙏🙏
Nikhil sir you are amazing.... your explanation is beyond the expectation. May GOD bless you with more power 😊
Helo sunil sir aap bhi to legend ho🙏
Bahut tej hore ho 😀😀😀
Khud ko bhi dekh lo 🙏🙏🙏🙏
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Sir i have completed all the lectures. Your way of expressing the questions is awesome.
Thank u for all of these lectures 💞💞
Sir, hme bhut grv h ki aap jaise teacher bina ki fees ke hm sabhi bachho pdate hai,,,bhut se teacher fees lene ke bad bhi itna achha nahi pda pate ___dhanyavaad sir @
sir please cover the remaining topics,you are providing one of the best content on youtube .
You are great sir aaj tk mujhe ye thrm smjh nhi aaya lekin apki video dekhne k baad sare doubt clear hogye..thanks sir
Ye baat mujhe bahut se clear ho gyi sir ki aapke bharose nhi reh skte ham ki aap pdha doge...
Greatest teacher ever seen 🙏❤️
Stay Blessed Dear Sir 🫂
Sir aapko thanks kahna tha hume sir apne bsc final me aapke video se padha tha aur aapke kamaal ke tarike se padhane se sirf one month ki prepration se hi first devision se pass ho gya
Sir please🙏
Continue with your vedios, they are very helpful.... 🙏
Sir kindly upload full course of real Analysis...love from Pakistan
Sir, whatever you are writing on the board your explanation for the each step or each line is very clear and easily understand so I think your explanation go on the students mind .Thank you 😊
Thankyou very much sir 🎉 ye theorem pehli baar mein mujhe smz aa gyi aur dimag mein chap bhi gyi ❤
Sir why are you not making video now?
Sir...u are a really .. good teacher...mere doston ne kha mujhe and aaj aapka lecture dekha...bhut achha batate h
Sir please upload video on Abstract Algebra ( Group theory and Ring ,field ). Sir your teaching method is very clear and understandable with clarity.
Nikhil sir Jaise teacher luck s miltaa isliya ap sbhi bhot lucky h tq god 🙏🙏🙏 learn and share k student m BHI b.sc krungi or sir s hi pdungii ☺️☺️☺️☺️
Sir You are one of my Best teacher ❤
3 years bad APka e video dekhkar sab clear ho geya . Thank you sir , again a lot of thanks sir. 🙏🙏🙏
Sir maine apki sabhi video dekhli par aap ab jaldi videos upload kare please thanks sir for free teaching with best effort
Sir why you are not making videos? Your videos help a lot ...plz
Hi sir, I had one paper in Btech, and because of you I cleared it. I don't have enough words to thank you.
Nikhil sir bht hi badiya smjhate hai esme koi shaq nhi
Feel hote questions 🔥
Mere nikhil sir aap great ho aap difficult question ko easy bana dete ho sir main aapka 11 ka student hun
Sir Bernoulli's inequality and squeeze theorem are missing , please 🙏 also cover this topic .
Aap bhut acha pdate ho sir
क्या मस्त तरीका है maths पढ़ाने का
Thank you so much for these deeply explanation for all the concept in all 26 videos🙏🙏
Happy Teacher Day sir ji 🥰 🙏 Aap hamesha khush rahe ☺️
Amazing explanation ❤ thank you so much sir❤
Sir, you are the best teacher...🥰🙏
Sir your explanation is very good.sir plz abstract algebra GROUP THEORY par video banaye
You are really god of real analysis Thanks a lot sir ... you made real analysis very comprehensive for us with your amazing teaching style. ..topology videos are really very helpful for clearing very notions
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thank you so much for this
i saw ur whole playlist of sequence its awesome sir
Video pasand aaya bahut. Aur like BHi kr dia 😘😎
Teaching method superb sir
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Video bhot accha tha sir...thanku so much..
Sir make new video soon... Your videos are really very helpfull for us... Thank you sir for your support
Just done 12th video of series
Literally brilliant mannn....
🎉
What an amazing playlist! You helped me so much, please make more math videos sir! God Bless you
Commandable job sir... ❤️❤️
U make real analysis easy..🙂... thanks a lot sir 💖
Bohut bariya laga sir video...
sir videos and teaching methodology is too good.. had a great learning.. please do complete SERIES also , so that complete real analysis is covered. thank you sir
I am really very happy to see your channel guruji❤ I think so that you are not teach bsc but I found and I surprised 🎉🎉🎉
Sir please make this course complete. It'll be there in the TH-cam forever. 🙏
Yes sir please🙏
Bhai sir n toh poora krra ni ab aage khn s pdhu, btade please
@@anmolchaurasia5738
i have wached all the vedio lectured
i got a lot of critical which i considered dificult but made so easy
thanks u so much sir
🥰🥰🥰🥰🥰
Sir why did you stop making videos?
Best teacher by Nikhil sir❤❤
आप इस टाॅपिक को कौन से पुस्तक से पढ़ाये सर...मेरे पुस्तक में थोड़ा अलग दिया है।🤨
BTW great teaching.जो छोटी-छोटी चीजें होती है जैसे n- m बार वाला जो पद था उसको भी अच्छे से बताये है जिसे बहुत सारे सर छोड़ देते हैं😊👍
sir thank you i had exam of psu over 22 sept and it was great to umderstand concept on your channel but in next 2 month i have exam in r&d so,if possible upload laplace function and probablity
Your teaching skill is amazing.
Awesome sir
Share a video about power series
Sir I love your teaching style 🙏🙏🙏
Real analysis ko easy bana diya sir aapne
Wow nice explanation sir and -epsilon
Great explanation forever ❤❤🙏🙏
Teaching skills on the top🙏
Best teacher ever
Sir why have you stopped uploading the content, you have monopoly in this field of mathematics. There is no one teaching better than you on TH-cam. I suggest you to continue, you will rock. And most important, after watching all video of this chapter I can just say you teach awesome.
@Daredevil source?
Thank you so much sir 🌝😊😊😊
Sir you are unique for maths subject.
sir aap bahut achha padhate ho 🙏🙏🙏🙏
So helpful bhaia,,,i am from Bangladesh ❤️❤️
Your way to teaching is awesome sir😊😊😊😊
This is very useful for bsc student 😊
Sir your all vidio make easy all the toughest topics of math and this lecture is so amazing 😇💯💯💯👍
Best teacher 👩🏫❤
Sir please cover the all set syllabus
Unique way of teaching...💚💚
Love from Pakistan
Really u are the best teacher
Thanks for teaching the toughest topics like piece of cake...😌❣💯
Plz upload for Limit superior and limit superior( Real analysis)
Happy Teacher's Day,Sir
At the time of COVID, when there was no virtual classes possible and my coaching was not running ,that time I was able to cover the syllabus of Complex analysis with the help of your videos. Thank you so much for making the videos🙏
@Harvey_Specterjhuti afwah kyu faila re ho
@Harvey_Specterwth..... How you know 😑
Sir aap bahut acha padaate ho🙌🙌
sir, you are really igniting the minds
Please upload videos on other topics.. You way of teaching is best.. I hope you will come with new videos 😇
Sir ji physics aur chemistry ke liye bhi koi badhiya teacher bta dijiye lekin sir jo Hindi me board pe na likhta ho 🙏
Lovely series sir 👍👍
Thanks for d lecture sir ...!!
Sir ur videos are life saving.. 🥰🥰🥰🥰 please give other topics too... im in love with math when i understand the topic from ur video 🥰🥰🥰
Sir please aur aage bhi video banaiye please.....aap bahut acha padhte h please request h aapse🙏🙏🙏🙏🙏🙏🙏
Thanks for the video, Sir. Please make videos on inequality, convergence of Random variables, convergence in probability, convergence in distribution.
Tone after lecture end is wow🎉
Happy teacher's day sir 🙏.....
Hello sir.. your teaching method is awesome sir..
Sir plz Real analysis for IIT JAM Ke complete syllabus par video or playlist bna dijiye
...
You are the best teacher
Thanku soo much sir
Very good explantion
Aap bahut achha padate h sir ❤️❤️❤️
Sir aage lecture continue rkhiye please....
Very thanks sir...🙏😊😊🙂
Aur sir har week main atleast 2 video upload kigiye
Taki hamara syllabus vi cover up ho jaye time pe
Please sir 🙏🙏🙏🙏
Aur jaror sequence k bad mein series suru korna
Sir kaha ho aap??! Pls continue to teach us
Sir real analysis pe baki videos bnado. please 🙏🙏🙏
Infinte series with positive terms
Infinite series with positive and negative terms
Thank you sir for this video and your background is very nice because it will not harm our eyes 👁️ thank sir 😊
Thank You so much sir🙏💞💕🥰🥰Apke padhane ka skill awesome hai🥰🥰
Hey did you know why sir not upload videos ?
@@BPLK no
@@richadwivedi930 i also don't know
App kon sa class pe ho ?
@@BPLK bsc first year
@@richadwivedi930 Me too..
Waiting for ur precious videos sir