#1) So we have the limit: . Direct substitution gives 0/0. Uh oh. This is a perfect time to use L'Hopital's Rule, which for this case means that since the limit gave an indeterminate form, or 0/0, then the limit is actually equal to the derivative of the numerator divided by the derivative of the denominator. Thus the original limit is equal to . Now try re-evaluating your limit.