Very confused about the following:
Find the radius of convergence and interval of convergence of the series.
Ok so using the ratio test where
Then we have
Simplifying, we get
Then I get
and therefore converges.
Still not sure how to solve for the center point and find the two endpoints. I'm left with x = -1
I apologize in advance for my crappy latex. The higher parentheses are superscripts. And I'm not sure about the absolute value cmd.
Well that can't be right. 1/n = infinity. But I am sure this equation converges. Somehow I think I cancelled out the n's incorrectly. Should have ended up with a L'Hospital's method and gotten 1/1 is my suspicion. But if that is the case, wouldn't I just solve for x giving 0? But then I have no idea how to get the endpoints unless they are -1<x<1 where x=0. With radius of 1.