Use the graph of $f ( x ) = \frac { x ^ { 2 } + x - 2 } { x + 2 }$ to guess at the limit $\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + x - 2 } { x + 2 }$, if it exists.

A) - 2
B) - 1
C) Does not exist
D) - 3

Question

Use the graph of $f ( x ) = \frac { x ^ { 2 } + x - 2 } { x + 2 }$ to guess at the limit $\lim _ { x \rightarrow - 2 } \frac { x ^ { 2 } + x - 2 } { x + 2 }$, if it exists.

A) - 2 
B) - 1 
C) Does not exist 
D) - 3

Quizplus · Accepted Answer

As we approach -2 from the left, the graph approaches negative infinity, while as we approach -2 from the right, the graph approaches positive infinity. Therefore, the limit does not exist.

Use the Graph Of f(x)=x2+x−2x+2f ( x ) = \frac { x ^ { 2 } + x - 2 } { x + 2 }f(x)=x+2x2+x−2​

Use the Graph Of $f ( x ) = \frac { x ^ { 2 } + x - 2 } { x + 2 }$