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Consider the graph of $f(x)$ shown below. Which of the following are TRUE?

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I. $f’(0)$ exists
II. $\lim \limits_{x \to 0^-} f(x)= \lim \limits_{x \to 0^+} f(x)$
III. $f’(x) \gt 0$ for $-3 \lt x \lt 0$

A

I only.

B

II only.

C

III only.

D

II and III only.

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