Removable Discontinuity or Singularity

$$f(x)=\left\{ \begin{array}{ll} \frac{x^2-9}{x-3} \;\text{ if }\; x \neq 3\\ 5 \;\text{ if }\; x = 3 \end{array} \right.$$

Let $f$ be the function defined above. Which of the following statements about $f$ are true?

$I$. $f$ has a limit at $x=3$.

$II$. $f$ is continuous at $x=3$.