Lesson 1 of 40 • 312 upvotes • 7:50mins

Hiiii..... Students I hope you are all well. I, Upendra yadav welcome you all on Unacademy (India's largest online learning platform). In this course we'll our best to deliver the lecture in such a manner so that a beginner student can grasp the fundamental, the method, the technique, the tricks in a higher Mathematics in a simple way. We are quite sure that after watching this lecture series carefully and noting down the important facts and results, every student will be able to solve the problem which are frequently asked in a various higher Mathematics exam like IIT-JAM, NBHM, TIFER , CMI, CSIR-NET, GATE, JRF, UPSC and other Mathematics Competitive exam. The chapter of "Sequences of Real Numbers" which is a very important chapter and a basic chapter of Real Analysis and Mathematical Analysis. Mainly this lecture series is for the aspirants who are preparing for the exam IIT-JAM. In this lecture series if you've any queries then please ask me in the comment section or message me. And if you like my courses the Please Do Rate and Review my course. And you can also share my lessons to your friends. You can follow me on Unacademy for the latest notification. And Thanku very much. Have a good day. 😊😊

40 lessons • 7h 13m

Overview of the Course (in Hindi)

7:50mins

Lecture 1: Definition of Sequence (in Hindi)

13:16mins

Lecture 2: Bounded Sequences (in Hindi)

11:02mins

Lecture 3: Monotonic sequences (in Hindi)

10:10mins

Lecture 4: Eventual Nature of a sequence (in Hindi)

7:31mins

Lecture 5: Subsequence and complementary subsequences (in Hindi)

10:24mins

Lecture 6: Limit point of a sequence & Bolzano Weierstrass Theorem (in Hindi)

15:00mins

Lecture 7: Limit of a sequence & convergent sequence (in Hindi)

9:14mins

Lecture 8: Uniqueness Theorem of limit, Divergent & Oscillatory Sequence (in Hindi)

12:39mins

Lecture 9: Example of convergent sequence (in Hindi)

11:06mins

Lecture 10: Example of convergent sequence (in Hindi)

11:01mins

Lecture 11: Example of convergent sequence (in Hindi)

11:04mins

Lecture 12: Some Important limit theorems || Theorem 1 - 10 (in Hindi)

10:05mins

Lecture 13: Some important limit theorems || Theorem 11 - 15 (in Hindi)

11:03mins

Lecture 14: Applications of Theorem -15 (in Hindi)

9:12mins

Lecture 15: Monotone converges theorem & Cantor Intersection theorem (in Hindi)

10:31mins

Lecture 16: An Example to understand Monotone converges theorem (in Hindi)

12:01mins

Lecture 17: Solved Examples (in Hindi)

9:39mins

Lecture 18: Solved Examples (in Hindi)

9:08mins

Lecture 19: Solved Examples (in Hindi)

9:32mins

Lecture 20: Solved Examples (in Hindi)

11:21mins

Lecture 21: Subsequences (in Hindi)

10:38mins

Lecture 22: Subsequences and Its Related Theorems (in Hindi)

12:25mins

Lecture 23: Examples based on Subsequences (in Hindi)

15:00mins

Lecture 24: Limit Superior and its Example || Advanced Analysis of a Sequence (in Hindi)

10:03mins

Lecture 25: Limit Inferior and its Examples (in Hindi)

11:10mins

Lecture 26: Convergen,Divergent & Oscillatory Sequence || Advanced Analysis of a sequence (in Hindi)

13:06mins

Lecture 27: Properties of Limit Superior and Limit Inferior (in Hindi)

8:44mins

Lecture 28: Solved Examples || Limit Superior and Limit Inferior (in Hindi)

11:41mins

Lecture 29: Solved Examples || Limit Superior & Limit Inferior (in Hindi)

11:33mins

Lecture 30: Sequences of Natural Numbers (in Hindi)

10:40mins

Lecture 31: Cauchy sequence (in Hindi)

10:11mins

Lecture 32: Cauchy Sequence || Theorems (in Hindi)

11:01mins

Lecture 33: Cauchy Criterion for Convergence (in Hindi)

10:08mins

Lecture 34: Solved Examples || Cauchy Sequence (in Hindi)

13:35mins

Lecture 35: Cauchy's first Theorem on limit (in Hindi)

11:19mins

Lecture 36: Cauchy's second Theorem on Limit (in Hindi)

10:31mins

Lecture 37: Solved Examples (in Hindi)

11:48mins

Lecture 38: Solved Examples (in Hindi)

10:05mins

Lecture 39: Solved Examples (in Hindi)

7:03mins

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