Is that

or

I am guessing the former.

If so, it is the form

Since the ol' hospital rule is the topic at hand, we can try this:

Rewrite:

L'Hopital:

quotient rule:

The limit in the denominator of the above is 1, so we have:

L'Hopital again:

Now, we could continue using sum rules and product rules and what not, but it is easy to see what the limit is now. See it?.

**Does anyone know the trick to get the limit to display nicely instead of all spread out like like?. Also, how do we make the font larger?. I can not get the displaystyle to work on this site.**