Please either use LaTeX or correct use of brackets. What you have posted is very difficult to read.

If I am reading it correctly, you are asked to evaluate

using L'Hospital's Rule...

First check that it is indeterminate.

You should see that it tends to

.

So you can use L'Hospital.

Now, take the derivative of the top, and the derivative of the bottom.

You will have

.

Now see what happens when you let it .

You should get

.

It is still indeterminate, so use L'Hospital again.

(note that since the derivative of then the derivative of .)

.

Use L'Hospital again...

.