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Important Topics-Real Analysis (in Hindi)
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In this lesson I have discussed most important topics of real analysis. As it contributed maximum marks in any compitittive exam of Mathematics.

Rahul Mapari
Visit My YouTube Channel RahulMapariBasicMaths|| 150 Videos|| MSc Maths|| CSIR-NET 2Times AIR13, 59| SET ||GATE AIR 73|| MPSC Grade1

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  1. About Me Name: Rahul V. Mapari Education: >M.Sc. Mathematics. >CSIR-NET (2 Times) AIR- 13 Enjoy Mathematics and 59 >SET (Maharashtra) >GATE AIR-73 >PSC (Maharashtra) Job Profile: Teaching Follow me: On Unacademy

  2. Important Topics Real Analysis Point Set Topology " Set (Closed/Open/Connected) " Neighborhood "Interval (Closed/Open) Union/Intersection Limit Point of a Set Countable set/ Uncountable set

  3. Important Topics Real Analysis Sequence and Series Sequence Subsequence Monotonic Sequence Oscillating Sequence " Limit Point of a Sequence Limit Superioir - Limit Inferior Cauchy Sequence " Convergence Divergence

  4. Important Topics Real Analysis Sequence and Series " Series "Convergence " Test for convergence (p-test, comparison test, ratio test etc.) " Divergence

  5. Important Topics Real Analysis Limit Continuity Differentiability " Graphical Approach "Special functions Greatest Integer function Dirichlet function Mod function Riemann function/ Thomae's function " Increasing/Decreasing function

  6. Important Topics Real Analysis Uniform Continuity Sufficient conditions Lipchitz condition Riemann Integration Sequence and Series of function Mn test

  7. Important Topics Real Analysis Metric spaces Bounded Variation