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AP® Calculus AB-BC

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Compute Limit Involving Absolute Value in a New Way

APCALC-5LBHYO

$\lim \limits_{h \to 0} \cfrac{2 |x+h|-2|x|}{h}$ at $x=4$ is:

A

The limit does not exist.

B

$-2$

C

$0$

D

$2$