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

Question

Quizplus · Accepted Answer

The expression $\frac{x + 6}{(x - 6)^2}$ becomes undefined as $x$ approaches 6 because the denominator approaches 0, making the limit approach infinity or negative infinity depending on the direction from which $x$ approaches 6. Therefore, the limit does not exist.

Find the Limit Algebraically 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 Algebraically $\lim _ { x \rightarrow 6 } \frac { x + 6 } { ( x - 6 ) ^ { 2 } }$