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Welcome to Algorithm Education...... In this channel you will get full course of IIT JAM MATHEMATICS, CSIR-NET NBHM, TIFR, ISI, CMI and Other Entrance Exam. Channel is also helpful for B.Sc and M.Sc Student. *********************************************************** Please Help us to grow fast by donating on Paytm, Phonepay & Paterion link given below 👉👇 Paytm: https://drive.google.com/file/d/1T9un... Phonepay: https://drive.google.com/file/d/1iYmm... Paterion: / algorithmeducation (If you donate me then you can get extra feacher from my side as I'll post you a signed birthday card, paste your name in the description of my videos on a random basis, and I'll put you on the guest list for any of my live shows. ) ********************************************************** To download notes 📚📝of sequence, join telegram channel (link is given below). Best book for Real Analysis 👇 https://amzn.to/3fJndBH (Introduction to Real Analysis by R.G. Bartle) https://amzn.to/37OOL5V (Elements of Real Analysis by M.D. Rai Singhania) Now I started a new lecture series which is "Real Analysis- Sequence of Real Numbers". This is a very useful lecture Series about the Sequences, the most important topic of Real Analysis for a mathematics student, if you are preparing for IIT-JAM MA, CSIR-NET, TIFR, NBHM, GATE, ISI, CMI, BHU-PET, JNUEE, DU, CUCET or for any masters entrance exam in mathematics. This Chapter (Sequence of Real Numbers) is also very important in Engineering & Basic Science Students. In this lecture Series, We'll Cover all the Important topic related to Sequence (Real Analysis) as given below. And This lecture series Contains 40 lectures (approximately 14 -15 hours⌛watch time) 👇 Phase- I (Basics of Sequence) 1: Overview of this Chapter 2: Introduction of Sequence (Definitions) 3: Bounded Sequence 4: Monotonic Sequence 5: Limit point of a Sequence 6: Bolzano Weierstrass Theorem for Sequence with proof 7: Limit of a Sequence 8: Difference between limit & limit point of a sequence 9: Convergent Sequence and its theorem 10: Divergent Sequence and its theorem 11: Prove that 'nth root of n converges to 1' ( Solved Examples ) 12: Proving a Sequence Converges 13: Some important theorem Statement on Sequence 14: Solved Examples based on previous lecture explained theorems statement 15: Monotone Converges Theorem with Proof 16: Tools for Convergence and Solved Examples 17: Example ( Prove that 'lim (1 + 1/n )^n converse to e'). 18: Examples based on Monotone Converges Theorem 19: Subsequence and Complementary Subsequence 20: Theorems statement based on Subsequence 21: Examples based on Subsequence 22: Example based on Subsequence 23: Most imp solved example Phase- II (Advanced Analysis of Sequence) 24: Limit Superior of a Sequence 25: Limit Inferior of a Sequence 26: Convergent sequence, Divergent sequence & Oscillatory sequence 27: Properties of Limit Superior & Limit Inferior 28: Examples on Limit Superior & Limit Inferior 29: Sequences of Natural Numbers 30: Sequences of Rational Numbers 31: Examples based on Sequence of Rational Numbers 32: Cauchy Sequence 33: Examples on Cauchy Sequence 34: Cauchy Criterion for Convergence 35: Cauchy First theorem on Limit 36: Cauchy Second theorem on limit 37: Integral as limit of Sum 38: Short trick of Convergence a Sequence 39: Summery of Sequences of Real Numbers 40: Sequences of Real Numbers (Must watch) So if you want to watch these all lecture then go to my playlist and Watch complete lecture series. After watching 👀 this lecture series I'm sure, you can solve all the ques related to sequence. Queries solved in this lecture 🎥 Cesaro theorem stolez Cesaro theorem squeeze theorem Cesaro theorem examples stolez Cesaro theorem examples squeeze theorem examples Cesaro theorem statement stolez Cesaro theorem statement squeeze theorem statement convergent sequence examples how to find sequence is convergent or not state and prove Cesaro theorem state and prove slolez cesaro theorem state and prove squeeze theorem Stay connected to me : 📌 Follow me on Unacademy 👇 https://unacademy.com/@iamupendrayada... 📌 Follow me on Instagram 👇 / upendrayadav88 📌 Follow me on Twitter 👇 https://twitter.com/Upendra23714364?s=08 📌 Subscribe on Telegram Channel 👇 https://t.me/educationalgorithm 📌 Follow me on Facebook 👇 / algorithm-education-109139330724325 _____________________________________________________________ Comment how according to your needs i will try my best to make changes.. ( You may also share your experience on Instagram & Twitter via adding hastag "algorithmeducation" to your post :) Please hit the like 👍 button and share this video to your friends. Please subscribe this channel and hit the bell 🔔 icon for latest notifications. Thanks for watching ! Upendra Yadav ❤