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A quick way to graph $g(x)=\lim \limits_{h \to 0} \cfrac{\cos(x+h)-\cos(x)}{h}$ is to graph which of the following?

A

$g(x)=\sin x$

B

$g(x)=-\sin x$

C

$g(x)=\cos x$

D

$g(x)=-\cos x$

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