- #1

RJLiberator

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## Homework Statement

Consider the power series centered at

a= 0:

Σkx^(k+1)

From 1 to infinity

(a) Find its radius of convergence, R, and its interval of convergence. = DONE

**(b) For x in the interval (-R,R) find the sum of the power series.**

Help?

## Homework Equations

N/a

## The Attempt at a Solution

So here's what I have already. For Part a, I calculated the radius of convergence to be 1 and the interval to be from -1<x<1. So we know that R = 1 and it's asking us the sum of the power series (-1, 1).

The problem I am having conceptually is, how do you get the sum when x is -1 and 1?

My only idea is to find the sum of the power series when x = 1 and the sum when x=-1 and then add them?

Is this correct?

If I am not thinking this correctly, please help me decipher what the question is asking. Thank you.