First of all, I don't know why you switched the order of the terminals...
Second, is of the indeterminate form .
So rewrite it as , which is now of the form and L'Hospital's Rule can be used.
Evaluate the following problem and determine if it converges or diverges. If it converges, calculate what it converges to.
I know the answer is that it conveges to -1, but wouldn't it diverge since I end up with ?