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# Limit of Difference Quotient Rewritten

APCALC-BDWCGV

If $\lim \limits_{x \to 4} \cfrac{g(4)-g(x)}{4-x}=-\cfrac{1}{4}$, what does $g'(4)$ equal?

A

$0$

B

$-\cfrac{1}{4}$

C

$\cfrac{1}{4}$

D

$4$