Suppose g$($x$)$ is differentiable at x$=10,$ g$(10)=4,$ and g$(10)=3.$ Select all statements that must be true.

Select all that apply:

g$($x$)$ is continuous at x$=4.$

limh$0$g$(4+$h$)$g$(4)$h$=10.$

limx$3$g$($x$)$ exists.

limx$10$g$($x$)=4.$

None of the above.