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AP® Calculus AB-BC

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Limits with Trig

APCALC-SN2XJI

Calculate the following limit:

$$\lim _{ x\rightarrow -2 }{ \frac { \sin(\pi x)-x }{ x-2 } } $$

A

$-\cfrac { 1 }{ 2 } $

B

$-\cfrac { 1 }{ 4 } $

C

$\cfrac { 1 }{ 2 }$

D

Undefined.