Determine the following limit. (Hint: Use the graph to calculate the limit.) $\lim _ { x \rightarrow 2 } \frac { 1 } { x - 2 }$

A) $- 2$
B) 0
C) $- 4$
D) 2
E) does not exist

Name: Determine the following limit. (Hint: Use the graph to calculate the limit.) $\lim _ { x \rightarrow 2 } \frac { 1 } { x - 2 }$ A) $- 2$ B) 0 C) $- 4$ D) 2 E) does not exist
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Question

Determine the following limit. (Hint: Use the graph to calculate the limit.) $\lim _ { x \rightarrow 2 } \frac { 1 } { x - 2 }$

A) $- 2$ 
B) 0 
C) $- 4$ 
D) 2 
E) does not exist

Quizplus · Accepted Answer

The graph shows a vertical asymptote at $x=2$, indicating that the limit does not exist as $x$ approaches 2. Therefore, the correct answer is E.

Determine the Following Limit lim⁡x→21x−2\lim _ { x \rightarrow 2 } \frac { 1 } { x - 2 }limx→2​x−21​

Determine the Following Limit $\lim _ { x \rightarrow 2 } \frac { 1 } { x - 2 }$