8.

A.

B.

C.

D.

E.

 

Solution: The answer is D

 

Since,

Then this limit may or may not exist and is called an indeterminate form of type 0/0. However, we may use l’Hospital’s Rule to evaluate this limit. Which says that, given an indeterminate form of type 0/0. Then,

if the limit on the right exists.

 

Thus, applying l’Hospital’s Rule twice to the given limit yields,