Hello and welcome, Mike!

I recommend in the future posting your problems in the appropriate forums, as they will receive more and prompt attention that way.

I think your first move is a good one, i.e., to write:

We have the indeterminate form 0/0, so application of L'Hôpital's rule gives:

In order for this limit to be bounded, we require the numerator to tend to 0, so we need , and we may write:

We have again the indeterminate form 0/0, so application of L'Hôpital's rule gives:

We have again the indeterminate form 0/0, so application of L'Hôpital's rule gives:

Can you now finish?