QUESTION $1.1$ PONT

Given $f(x)=\frac{4x^2-16x16}{x5}$

Which of the following statements about the continuity of $f(z)$ at $x=-5$ are true?

Select the correct answer below:

$f(x)$ is not continuous at $x--5$ because it is not defined at $x=-5.$

$f(-5)$ exists, but $f(x)$ is not continuous at $x=-5$ because $\underset{x-5}{lim}f(x)$ does not exist.

$f(-5)$ and $\underset{x-5}{lim}f(x)$ both exist, but $f(x)$ is not continuous at $x=-5$ because $\underset{x5}{lim}f(x)f(-5).$

$f(x)$ is continuous at $x=-5.$