Suppose f$($x$)$ is continuous at x$=1,$ f$(1)=7,$ and f$(1)=0.$ Select all statements that must be true.

Select all that apply:

f$($x$)$ is differentiable at x$=1.$

limx$7$f$($x$)=1.$

limx$1$f$($x$)=7.$

None of the above.