CPM Homework Help : PC3 Problem 7-116

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7-116.

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

$\lim\limits _ { x \rightarrow 3 } ( x ^ { 2 } - 9 )$
Hint (a):
Substitute in $x=3$ as it does not create division by $0$ .

$\lim\limits_ { x \rightarrow 3 ^ { + } } \frac { 1 } { x ^ { 2 } - 9 }$
Hint (b):
Graph the function. What happens at $x=3$ ?

$\lim\limits_ { x \rightarrow 3 ^ { - } } \frac { 1 } { x ^ { 2 } - 9 }$
Hint (c):
Review the hint in part (b).

$\lim\limits_ { x \rightarrow 3 } \frac { 1 } { x ^ { 2 } - 9 }$
Hint (d):
Are the right and left limits in parts (b) and (c) the same?

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