MATH621 Assignment 2 Solution Spring 2019

Hello VU students here is the solution of MATH621 Assignment No.2 Spring 2019. Assignment total marks 20. Assignment due date 31 July 2019. Assignment Solution in Doc file. You Also Like our Facebook Page, Join Facebook Group, follow on Google+ and Subscribe our YouTube Channel. Please Share it with your Friends. Thank you.

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Assignment Solution:

Question No.1

Discuss the continuity of by using formal definition of continuity.

Solution:

A function g(x) is continuous from right at x₀ if and only if   g(x) is defined on interval [x₀, b) and for each ε > 0 there is a δ > 0 such that

|g(x) – g(x₀)| < ε

Whenever

x₀ ≤ x < x₀ + δ

By definition

Question No.2

Consider the function f on given by

Show that f is not continuous anywhere.

Solution:

Suppose that f(x) is continuous at x₀.

Then by definition of continuous function