### Home > APCALC > Chapter 6 > Lesson 6.1.1 > Problem 6-13

6-13.

Evaluate each limit.

To evaluate the limit as the function approaches

, look at the end behavior of the function. Determine the end behavior by looking at only the highest-power terms in the denominator and numerator.

Because the function's end behavior follows the trend of a

graph, we know that the limit as the function approaches ∞ does not exist.

This is ALMOST the same problem as part (a) but, evaluate the limit as

instead of. Note: Sometimes there are different end-behavior limits in either direction.

This limit has an indeterminate form. Use l'Hôpital's Rule.

Now try evaluating the limit.

This limit also has an indeterminate form. Use l'Hôpital's Rule.