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Which of the following statements guarantees that $x=4$ is a vertical asymptote of the function $f(x)$?

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

A

I only.

B

II only.

C

III only.

D

II and III only.

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