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

In this case applying root test is better
$$\lim_{n\rightarrow \infty}\sqrt[n]{\Bigg|\frac{(-1)^n(x+2)^n}{n}}\Bigg| = |x+2|$$
Since $\lim_{n \rightarrow \infty} \sqrt[n]{n}=1$
You want $|x+2| < 1$.
