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Given $\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 2 x }$

Question 31

Multiple Choice

Given. $\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 2 x }$
Say whether L'Hospital's rule applies. If it does, use it to evaluate the given limit. If not, use some other method.

A) yes, 6
B) no, 2
C) yes, -2
D) no, -2
E) no, -6

Given lim⁡x→−2x2+8x+12x2+2x\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 2 x }limx→−2​x2+2xx2+8x+12​

Multiple Choice

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Given $\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + 8 x + 12 } { x ^ { 2 } + 2 x }$

Correct Answer:
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