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

Evaluate each limit. If the limit does not exist, say so but also state if

*y*is approaching positive or negative infinity. Homework Help ✎(Careful!)

The denominator does not cancel out. That means that there will be a 0 in the denominator when we evaluate at *x* = −3, so the limit does not exist.

Graphically, there will be a vertical asymptote at *x* = −3. That is why we are asked to find the limit from the right: we want to know if the graph approaches the asymptote towards +∞ or −∞.

So evaluate a value that is to the right of −3, 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.

Think: The function is *y* = *π*. That is a horizontal line. All *y*-values are *π*.