Which of the following is the meaning of the statement $\displaystyle \lim_{x \to 3} f(x)=\infty$?

(a) As $x$ approaches 3 from the right, $f(x)$ is getting arbitrarily large.
(b) As $x$ approaches 3 from the left, $f(x)$ is getting arbitrarily large.
(c) As $x$ approaches 3 from either side, $f(x)$ is getting arbitrarily large.
(d) As $x$ approaches 3 from either side, who knows where $f(x)$ is going.