Todd's Evil Limit - A Solution

We start by replacing *e* by its Taylor Series:

Now a simple, but non-rigorous way to go is to observe that
when *x * is very small, sin(*x*) is approximately equal to *x*.
If you allow me to use that approximation we obtain:

If that makes you uncomfortable, we can use the more honest, more cumbersome method of L'Hopital's rule:

Comment on this page

Go to Doug Shaw's Professorial page