VU Answer Gives Correct mth631 Assignment No 1 Solution Spring 2022. A Perfect Solved mth631 Assignment 1 Solution 2022 File.

In the MTH631 course, you can study various important topics and lectures. According to the VU schedule every semester they provide mth631 assignments for students to submit with solutions before the due date.

We will share a proper mth631 assignment 1 solution for spring 2022 with a pdf that you can easily preview and easily download the complete file below.

# MTH631 Assignment 1 Solution 2022

Q.1

Define the pointwise and uniform convergence of a sequence of functions. A sequence of functions fn:(0,1)→R is defined by

fnx=1nx-nxnx+1

Examine this sequence for pointwise and uniform convergence.

Hint: use this result to examine uniform convergence.

Suppose that fn: A → R is bounded on A for every n N and

fn→f uniformly on A. Then f : A → R is bounded on A.

Solution:

Definition of pointwise converges of sequence of function

(2)Definition of uniform convergence

(3)

Question no.2

State Cauchy’s criterion and Weierstrass’s test for uniform convergence for series. Test the uniform convergence of the series by using Weierstrass’s test.

Solution:

(1)Cauchy’s criterion for uniform convergence of series

(2)Weierstrass's M-test

(3)

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MTH631 Assignment No 1 2022 Solution

MTH631 Assignment 1 Solution 2022

MTH631 Solution 2022 Spring

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