EJMT Abstract

It is well-known that Riemann Sums can be used to approximate certain definite integrals. In this paper, we will show how to use the idea of Riemann Sums to evaluate certain limits. It is done by expressing the desired limit as the limit of a suitable Riemann Sum. Several examples are given, as well as some exercises that are left for the reader to try on his own. An important aspect of the paper is that it encourages use of computer algebra systems such as Maple, at the same time emphasizing the importance of computation by hand.