### Home > APCALC > Chapter 3 > Lesson 3.2.1 > Problem 3-51

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.

The denominator does not cancel out. That means that there will be a

in the denominator when we evaluate at , so the limit does not exist.Graphically, there will be a vertical asymptote at

. That is why we are asked to find the limit from the right: we want to know if the graph approaches the asymptote towardsor . So evaluate a value that is to the right of

, and see if you get a positive or negative answer. Therefore, from the right, the graph of

approaches the vertical asymptote towards .

Evaluate.

This is a limit

. Think end behavior. Compare the highest power on the top and bottom. Be sure to consider their coefficients.

(Careful!) Think: The function is

. That is a horizontal line. All-values are.