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.