In the previous two sections we discussed how to find power series representations for certain types of functionsâ€“â€“specifically, functions related to geometric series. Here we discuss power series representations for other types of functions. In particular, we address the following questions: Which functions can be represented by power series and how do we find such representations? If we can find a power series representation for a particular function [latex]f[/latex] and the series converges on some interval, how do we prove that the series actually converges to [latex]f[/latex]?