Evaluate each limit.
To find the limit as the function approaches
, look at the end behavior of the function.
Find 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 an
graph, we know that the limit as the function approaches is also .
This is ALMOST the same problem as part (a) but, evaluate the limit as
instead of .
Note: sometimes there is are different end-behavior limits in each direction.
Refer to part (a). Remember to include
as part of the highest power for the numerator!
See part (a).
Note: this means that there is a horizontal asymptote of