Real analysis | UP TGT MATH | COMPLETE REVISION | PRACTICE

Real analysis | UP TGT MATH | COMPLETE REVISION | PRACTICE . IN this video i explained real analysis mostly topics. limit point, open set close set. Axioms of real numbers, Countability of Sets, metric spaces, Neighbourhood, open and closed sets, Derived Set, Dense set, Perfect Set, Bolzano-Weierstrass theorem and General Theorems. Real Sequences, Limit of Sequence, convergent and divergent sequence, bounded sequence, monotonic sequence, properties of Convergent Sequences, Cauchy Sequence, Cauchy's theorem on limits and Cauchy Criterion of convergence of real sequence. Limit and Continuity of real valued functions, left and right hand limits, properties of continuous functions. Types of discontinuity, Rolle's Theorem.