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Which of the following statements must be true, given the limit $\mathop {\lim}\limits_{x \to \infty}f(x)=3$?

I. $f(c) \ne 3$ for all values of $c$ in the domain of $f$
II. $x=3$ is a vertical asymptote for the graph of $f(x)$
III. $y=3$ is a horizontal asymptote for the graph of $f(x)$

A

I only

B

I and II only

C

III only

D

I and III only

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