The problem: Find the radius and interval of convergence.
The attempt:
I basically did the ratio test and it equaled 0. So does R = and I = ?
chisigma's point is that, the way you wrote it here, that is NOT a power series. I expect that you meant
Yes, the limit of the ratios is 0 which is less than 1 for all x. The "radius of convergence" is infinite.