That is almost the correct way of going about it!

When you evaluate this limit, we get the indeterminate case . So to apply L'Hôpital's rule, we need to differentiate both numerator and denominatorseparately! Recall that L'Hôpital's rule says that if is of the form or and ifexists, then .

So we don't look at , we look at !

Does this clarify things? Can you finish this problem?