In a former article, we talked about the limits of functions. We have used what we learned in that article to calculate the limit of both sequences and infinite series. In this article, we will be given the tools to prove whether a given point of convergence is accurate or not. This will only be done for a limit at a finite point — in the next article, we will look at the left-hand-side and right-hand-side limits. In the articles after that, we will look at cases where we find the limits at infinity — or the limit is infinity.