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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