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:
$$n(x+2) \over n+1$$

Hint, the ratio needs to be such that
$$\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right|<1 $$
So, what values of $x$ will satisfy this condition after the limit has been taken?
