# Limit of sum, sum of limit

For an infinite sum, is the limit of the sum = sum of the limit?
ie.
$$lim_{x \rightarrow a} \sum_{n=0}^\infty f(x,n)= \sum_{n=0}^\infty lim_{x \rightarrow a}f(x,n)$$

$$\sum_{n=0}^{\infty} f(x,n)$$