Use the graph to find $\lim _ { x \rightarrow - 1 } \frac { 1 } { x + 1 }$, if it exists.

A) 0
B) 2
C) 4
D) $- 1$
E) The limit does not exist.

Question

Use the graph to find $\lim _ { x \rightarrow - 1 } \frac { 1 } { x + 1 }$, if it exists.

A) 0 
B) 2 
C) 4 
D) $- 1$ 
E) The limit does not exist.

Quizplus · Accepted Answer

As we approach $x=-1$, the function becomes unbounded (going to positive or negative infinity). Therefore, the limit does not exist. We can see this from the graph as well since the function has a vertical asymptote at $x=-1$.

Use the Graph to Find lim⁡x→−11x+1\lim _ { x \rightarrow - 1 } \frac { 1 } { x + 1 }limx→−1​x+11​

Use the Graph to Find $\lim _ { x \rightarrow - 1 } \frac { 1 } { x + 1 }$