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Let $f(x) = \left\{ \begin{array}{ll} 4x^2+2 & \quad x \leq -1 \\\ -8x-12 & \quad x>-1 \end{array} \right.$

Which of the following statements are true?

I. $\lim \limits_{x \to -1} f(x) =f(-1) $
II. $\lim \limits_{x \to -1} f’(x)$ exists
III. $f’(-1)=-8$

A

II only.

B

II and III only.

C

I, II, and III.

D

None of the statements are true.

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