Radius of convergence / endpoints
I am really having trouble with this problem. The n'th term is given in the problem,
(a) Determine the radius of convergence of the series.
(b) What are the endpoints of the interval of convergence?
left endpoint = x =
right endpoint = x =
Does the series converge at the left endpoint?
Does the series converge at the right endpoint?
I did the ratio test and got [(-1^n)*(x^n+1) / (n+1)] * [n / -1^(n-1) * x^n]
I get infinity when i get an x in the numerator when i take the limit. Usually the x's cancel out. is this a special case? maybe i am doing something wrong, or don't know something. And I have no clue on how to find the end points even.
Please help. Thank you.