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

From the graph, we can see that as $x$ approaches $-2$, the function approaches positive infinity from the left and negative infinity from the right. 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 $f ( x ) = \frac { x ^ { 2 } + x - 2 } { x + 2 }$