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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. And You will get here full solutions of any mathematics books. ************************************************************* Join this channel to get access to perks: To get full access of my courses, join Significant support (₹299\months) / @upendra_iitr ****************************************************** To download notes 📚📝of series of real numbers, join telegram channel (link is given below). All other courses: (Real Analysis) Function of one variable: Limit of a function- Playlist || IIT-JAM, CSIR-NET, GATE, NBHM ||: • (Real Analysis) Function of one variable: ... Complete Group Theory for IIT-JAM Mathematics & CSIR-NET: • Complete Group Theory for IIT-JAM Mathemat... IIT JAM Mathematics 2021 | Prepration & Strategy |: • IIT JAM Mathematics 2021 | Prepration & St... Real Analysis: Sequences of Real Numbers- Playlist || IIT-JAM Mathematics & CSIR-NET: • Real Analysis: Sequences of Real Numbers- ... 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- Series of Real Numbers". This is a very useful lecture Series about the Sequences and series, 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 (Series 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 Series (Real Analysis) as given below. And This lecture series Contains 30+ lectures (approximately 04 - 06 hours⌛watch time) 👇 Phase- I (Basics of Sequence) 00: Overview of this Chapter 01: Definition of Infinite series, Sequences of partial sum 02: Examples based on Infinite series 03: Necessary condition for the convergence of an infinite series 04: Cauchy's general principal for convergence of an infinite series 05: Series of positive real numbers 06: Proof of Geometric series 07: Proof of Harmonic Series 08: Test for convergence of positive term series (First Comperision test) 09: First Comperision test: Examples 10: Second comperision test & limit form 11: Limit form comperosion test 12: Limit form comperision test: Examples 13: Examples based of First comperision test & limit form 14: Important Examples based on limit form & first comperision test 15: Application of comperision test 16: D'Alembert's Ratio test 17: D'Alembert's Ratio test: Examples 18: Examples based on D'Alembert's Ratio test 19: Examples based on D'Alembert's Ratio test 20: Cauchy's nth root test 21: Cauchy's root test examples 22: Rabbe's test 23: Cauchy's integeal test 24: Cauchy's Integral test: Examples 25: Cauchy's Integral test: Examples 26: Examples based on Cauchy's Integral test 27: Absolutly Convergence series and conditionally convergent series 28: Alternating Series 29: Examples based on Alternating series 30: Alternating Series: Examples 31: PYQ of series of real numbers 32: PYQ of series of real numbers 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 🎥 Infinite series definition of infinite series series of real numbers sequence and series infinite series of real numbers sequence of partial sum how to find sequence of partial sum convergent series divergent series oscillatory series how to find a series is convergent ot not with the help of sequnce of partial sum iit jam 2021 iit jam iit jam mathematics iit jam mathematics lectures csir net mathematics lectures 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. And Don't forgot to subscribe my channel and hit the bell icon for latest notifications. Thanks for watching ! Upendra Yadav ❤