How do I find the radius and interval of convergence of $\sum_{n=1}^\infty {(-1)^n(x+2)^n \over n} $ $$\sum_{n=1}^\infty {(-1)^n(x+2)^n \over n} $$
I used the ratio test to test for absolute convergence, but I'm sort of stuck on:
$$n(x+2) \over n+1$$

it should be
$\lim_{n\to\infty}\left|\frac{n(x+2)}{n+1}\right|=|x+2|\lim_{n\to\infty}\frac{n}{n+1}$
hopefully you can work out that limit.
