Amrita Vishwa Vidyapeetham

One of the two most important ideas in Real analysis is that of convergence of a sequence. A sequence of real numbers converges to a real number a if, for every positive number ϵ, there exists an N ∈ N such that for all n ≥ N, |an - a| < ϵ.

A sequence is called a Cauchy sequence if the terms of the sequence eventually all become arbitrarily close to one another.

In real analysis, the monotone convergence theorem states that if a sequence increases and is bounded above by a supremum, it will converge to the supremum; similarly, if a sequence decreases and is bounded below by an infimum, it will converge to the infimum.

It is questions and answers from the topic Recursive sequences, Here it mainly discuss about the convergence of some sequences whose nth term is defined in terms of some of its previous terms

Real Analysis: It study the behavior of real numbers , sequence , series of real numbers and real functions . The study of real analysis include limits, continuity , differentiability , integrability etc.. In here the documents that I upload contain each part by part every single topic mentioned it. Every theorem and problems are mentioned in a way that anyone who is willing to study Real Analysis can easily understand the concept about it just by reading the topics mentioned in it.

Lab Record Notes for students who are studying Microbiology.

Lab Record notes for Students who are studying Microbiology.

Lab record notes for Microbiology Students.

This is my own notes for 2019-2020, experiment no: 1.1 to 2

This is my own document Lab Record Experiment no 1