Find the limit.
$$\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } + 2 x - 12 } { x - 2 }$$
A) 6
B) -6
C) 10
D) 12
E) 1

Name: Find the limit. \[\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } + 2 x - 12 } { x - 2 }\] A) 6 B) -6 C) 10 D) 12 E) 1
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Question

Quizplus · Accepted Answer

The expression can be simplified by factoring the numerator: $x^2 + 2x - 12 = (x - 2)(x + 6)$. The $x - 2$ terms cancel, leaving $\lim_{x \to 2} (x + 6) = 8$.

Find the Limit lim⁡x→2x2+2x−12x−2\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } + 2 x - 12 } { x - 2 }x→2lim​x−2x2+2x−12​

Find the Limit $\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } + 2 x - 12 } { x - 2 }$