### Home > PC3 > Chapter 7 > Lesson 7.2.4 > Problem7-116

7-116.

Use a graph or a table to evaluate each of the following limits.

1. $\lim\limits _ { x \rightarrow 3 } ( x ^ { 2 } - 9 )$

Substitute in $x=3$ as it does not create division by $0$.

1. $\lim\limits_ { x \rightarrow 3 ^ { + } } \frac { 1 } { x ^ { 2 } - 9 }$

Graph the function. What happens at $x=3$?

1. $\lim\limits_ { x \rightarrow 3 ^ { - } } \frac { 1 } { x ^ { 2 } - 9 }$

Review the hint in part (b).

1. $\lim\limits_ { x \rightarrow 3 } \frac { 1 } { x ^ { 2 } - 9 }$

Are the right and left limits in parts (b) and (c) the same?