Find the limit algebraically.
-$$\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$$
A) Does not exist
B) 3
C) 1
D) 6

Name: Find the limit algebraically. -\[\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }\] A) Does not exist B) 3 C) 1 D) 6
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Question

Quizplus · Accepted Answer

The given expression can be simplified by factoring the numerator as $\frac{(x+3)(x-3)}{x-3}$, which simplifies to $x+3$ when $x \neq 3$. Substituting $x = 3$ into the simplified expression gives $3 + 3 = 6$.

Find the Limit Algebraically lim⁡x→3x2−9x−3\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }x→3lim​x−3x2−9​

Find the Limit Algebraically $\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } - 9 } { x - 3 }$