x

n

Exercise 1.

Consider the power series

1. (4pts) What is

00 71

Exercise 1. Consider the power series E a:

2.

n=1 n I. {4pts} What is its radius of convergence? 2. {419155) Show using the Weierstrass test that the above series in uniformly convergent

on [—1,1]. 3. (lots) What is the derivative of the above series? What is its radius of convergence?

Is it also uniformly convergent on [—1,1]?

Math

Please see the picture below∞