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AP® Calculus AB-BC

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Compute Limit Involving Absolute Value of Trig Function

APCALC-YZLQM8

$ \lim \limits_{h \to 0} \cfrac{\sin \left| \cfrac{\pi(x+h)}{4} \right| -\sin \left|\cfrac{\pi x}{4} \right|}{h}$ at $x=4$ is:

A

nonexistent

B

$-1$

C

$0$

D

$1$