$\text { Use the graph below to find } \lim _{x \rightarrow-4} \frac{|x+4|}{x+4} \text {, if it exists. }$

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

Question

$\text { Use the graph below to find } \lim _{x \rightarrow-4} \frac{|x+4|}{x+4} \text {, if it exists. }$

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

Quizplus · Accepted Answer

As we approach -4 from the left side, the function is approaching negative infinity, and as we approach from the right side, the function is approaching positive infinity. Therefore, the limit does not exist.

Use the graph below to find lim⁡x→−4∣x+4∣x+4, if it exists. \text { Use the graph below to find } \lim _{x \rightarrow-4} \frac{|x+4|}{x+4} \text {, if it exists. } Use the graph below to find limx→−4​x+4∣x+4∣​, if it exists.

$\text { Use the graph below to find } \lim _{x \rightarrow-4} \frac{|x+4|}{x+4} \text {, if it exists. }$