Consider the power series centered at
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.
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.