Find the limit, if it exists.
-$$\lim _ { x \rightarrow 7 } \frac { x ^ { 2 } + 2 x - 63 } { x - 7 }$$
A) 0
B) Does not exist
C) 16
D) 2

Name: Find the limit, if it exists. -\[\lim _ { x \rightarrow 7 } \frac { x ^ { 2 } + 2 x - 63 } { x - 7 }\] A) 0 B) Does not exist C) 16 D) 2
Brand: Quizplus
Rating: 4.8 (44 reviews)

Question

Quizplus · Accepted Answer

We can factor the numerator as $(x-7)(x+9)$. Thus, we can cancel out the common factor of $x-7$ in the numerator and denominator, and we are left with $\lim_{x	o7} x+9 = 16$. Therefore, the answer is (C).

Find the Limit, If It Exists lim⁡x→7x2+2x−63x−7\lim _ { x \rightarrow 7 } \frac { x ^ { 2 } + 2 x - 63 } { x - 7 }x→7lim​x−7x2+2x−63​

Find the Limit, If It Exists $\lim _ { x \rightarrow 7 } \frac { x ^ { 2 } + 2 x - 63 } { x - 7 }$