Use the graph to evaluate the limit.
-$\lim _{x \rightarrow 1} f(x)$

A) $\infty$
B) $- \frac { 1 } { 2 }$
C) $\frac { 1 } { 2 }$
D) $- 1$

Question

Use the graph to evaluate the limit.
-$\lim _{x \rightarrow 1} f(x)$

A) $\infty$ 
B) $- \frac { 1 } { 2 }$ 
C) $\frac { 1 } { 2 }$ 
D) $- 1$

Quizplus · Accepted Answer

As x approaches 1 from the left, the graph approaches y=1/2. As x approaches 1 from the right, the graph approaches y=-1/2. Therefore, the limit as x approaches 1 is the average of 1/2 and -1/2, which is 0.5 - 0.5 = 0. Thus, option C is correct.

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