### Home > APCALC > Chapter 3 > Lesson 3.3.4 > Problem 3-140

Evaluate each limit. If the limit does not exist due to a vertical asymptote, then add an approach statement stating if is approaching negative or positive infinity.

Evaluate.

As in all limits in which

or , compare only the highest power in the numerator and denominator.

Careful! This one can be deceptive. Just because this is a one-sided limit, does not mean that the limit

or . That will only be the case if there is a zero in the denominator that cannot be cancelled out.

This limit is asking you to determine whether the function approaches its vertical asymptote at

in a positive or negative direction when looked at from the left.Choose a value a little to the left of

and evaluate. You only need to determine if the limit is positive or negative. negative value Limit does not exist, but

.