## Limit of a Sum of Two Functions

In this post, I show that $\lim_{x \rightarrow a} [f(x) + g(x)]$ is equal to $\lim_{x \rightarrow a}f(x) + \lim_{x \rightarrow a} g(x)$ given that $\lim_{x \rightarrow a}f(x) = A$ and \$ \lim_{x \rightarrow a}g(x)…