Advanced Topics:

e as a limit

We want to show the important

First note that the limit game is useless in establishing this equation, since we want to define e using the equation. Essentially, all we want to establish is that the limit exists, and we want to name it e.

We need to establish two facts about the function

whose graph is shown below:

The function is bounded

The function is increasing

Erich Prisner, October 2003