Use the graph below to find $\lim _ { x \rightarrow - 10 } \frac { | x + 10 | } { x + 10 }$, if it exists.

A) 1
B) $- 10$
C) 10
D) $- 1$
E) The limit does not exist.

Question

Use the graph below to find $\lim _ { x \rightarrow - 10 } \frac { | x + 10 | } { x + 10 }$, if it exists.

A) 1 
B) $- 10$ 
C) 10 
D) $- 1$ 
E) The limit does not exist.

Quizplus · Accepted Answer

As we approach -10 from the left side, the function approaches -1, but as we approach -10 from the right side, the function approaches 1. Therefore, the limit does not exist.

Use the Graph Below to Find lim⁡x→−10∣x+10∣x+10\lim _ { x \rightarrow - 10 } \frac { | x + 10 | } { x + 10 }limx→−10​x+10∣x+10∣​

Use the Graph Below to Find $\lim _ { x \rightarrow - 10 } \frac { | x + 10 | } { x + 10 }$