Consider the following function.

$f(x)=\frac{x^2-15x56}{x-7}$

$($a$)$ Explain why $f$ has a removable discontinuity at $x=7.($Select all that apply.$)$

$f(7)$ and $\underset{x7}{lim}f(x)$ are finite, but are not equal.

$\underset{x7}{lim}f(x)$ does not exists.

$\underset{x7}{lim}f(x)$ is finite.

$f(7)$ is undefined.

none of the above