Find the limit, if it exists.
-$$\lim _ { x \rightarrow 6 } \frac { x + 6 } { ( x - 6 ) ^ { 2 } }$$
A) 0
B) 6
C) Does not exist
D) -6

Name: Find the limit, if it exists. -\[\lim _ { x \rightarrow 6 } \frac { x + 6 } { ( x - 6 ) ^ { 2 } }\] A) 0 B) 6 C) Does not exist D) -6
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Question

Quizplus · Accepted Answer

The denominator $(x-6)^2$ approaches 0 as $x$ approaches 6, but the numerator $x+6$ approaches 12. Thus, the limit does not exist as it is of the form "$\frac{0}{0}$".

Find the Limit, If It Exists lim⁡x→6x+6(x−6)2\lim _ { x \rightarrow 6 } \frac { x + 6 } { ( x - 6 ) ^ { 2 } }x→6lim​(x−6)2x+6​

Find the Limit, If It Exists $\lim _ { x \rightarrow 6 } \frac { x + 6 } { ( x - 6 ) ^ { 2 } }$