Real Analysis 04 | Sequence and Series of Functions in ONE SHOT

[@Gamingwithshivam2002]

i am big fan of you sir XD

[@tomatobasumatary948]

Sir please finish the syllabus ☺️ Finite and infinite sets, examples of countable and uncountable sets. Real line, bounded sets, suprema and infima, completeness property of R, Archimedean property of R, intervals. Concept of cluster points and statement of Bolzano-Weierstrass theorem. Real Sequence, Bounded sequence, Cauchy convergence criterion for sequences. Cauchy’s theorem on limits, order preservation and squeeze theorem, monotone sequences and their convergence (monotone convergence theorem without proof). Infinite series. Cauchy convergence criterion for series, positive term series, geometric series, comparison test, convergence of p-series, Root test, Ratio test, alternating series, Leibnitz’s test (Tests of Convergence without proof). Definition and examples of absolute and conditional convergence. Sequences and series of functions, Point wise and uniform convergence. Mn-test, M-test, Statements of the results about uniform convergence and integrability and differentiability of functions, Power series and radius of convergence.

[@MATHSSHTAMOFFICIAL]

All topics are already covered💯

[@tomatobasumatary948]

@@MATHSSHTAMOFFICIAL sir please give some proof and problem solving questions based on the chapter ☺️

[@akshaykumarakshaykumar8696]

Thanku bhaiya ❤❤❤❤❤❤