Consider the series
$$\sum_{n=1}^\infty \frac{(-1)^n}{n+x}$$
Find all $x \in \mathbb{R}$ at which the series converges. Converges absolutely. Find all intervals of $\mathbb{R}$ where the series defining $f$ converges uniformly, and all intervals of $\mathbb{R}$ on which $f$ is continuous
I'm very confused about how to think about this