I know its indeterminate form and so i rewrite it as
. Now it's indeterminate form. Then I get stuck.
This is really a tough limit: first, and in order to derivate more easily, put
Applying now L'Hospital to your limit we get .
Let apart the term, whose limit is , and focus on the rest:
Apply L'Hospital one again here and get
Now don't forget the term you left out before and the limit finally is (**Pant, pant!!**) :