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AP® Calculus AB-BC

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True for $f(x) = \tan {2x}$

APCALC-ULEDBI

Which of the following statements is true for $f(x) = \tan {2x}$?

I. $\mathop {\lim }\limits_{x \to \frac{\pi }{4}} f(x)$ does not exist.
II. $\mathop {\lim }\limits_{x \to {{\frac{\pi }{4}}^ + }} f(x) = \infty $
III. $\mathop {\lim }\limits_{x \to {{\frac{\pi }{4}}^ - }} f(x)\, = \infty $

A

I only.

B

I and II only.

C

I and III only.

D

I, II, and III.