# An Introduction to Series of Functions

In this article, we will look at what is meant by Series of Functions. For these series of functions, we will cover concepts such as pointwise and uniform convergence. Hence, we will also need to look at the so-called Weierstrass’ M-test. It is advised to read my article about infinite series and my article about pointwise and uniform convergence first.

## Defining Series of Functions

Let us first formally define a series of functions. We have already talked about series before where we used real numbers. Now, we will do…