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AP® Calculus AB-BC

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Moderate

Finding Limits of Graphs with Jumps and Infinite Discontinuities

APCALC-IBQPQA

Jensen, Tracey. Created for Albert.io. Copyright 2016. All rights reserved.

Which of the following sets of statements accurately describes​ the above graph of $f(x)$?

A

$f(-1)=1$
$\lim _{ x\rightarrow { 0 }^{ + }} f(x) =3 $
$\lim _{ x\rightarrow { 2 }^{ - } }{f(x) } =1$

B

$f(0)=3$
$\lim _{ x\rightarrow { 2 }^{ -}} f(x) =1 $
$\lim _{ x\rightarrow { -1 }^{ -} }{f(x) } =0$

C

$\lim _{ x\rightarrow { -1 }^{+}} f(x) =0 $
$\lim _{ x\rightarrow { 2 }}{f(x)} =1$
$\lim _{ x\rightarrow { 0 }} f(x) =3 $

D

$\lim _{ x\rightarrow { c }}{f(x) } $ does not exist for $c=-1$, $0$, and $2$.