Given f$($x$)=44$x$2$x$5.$

Which of the following statements about the continuity of f$($x$)$ 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 limx$5$f$($x$)$ does not exist.

f$(5)$ and limx$5$f$($x$)$ both exist, but f$($x$)$ is not continuous at x$=5$ because limx$5$f$($x$)$f$(5).$

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