Moderate# Limits and Continuity of Piecewise Function

APCALC-4IZYRG

Consider the following piecewise function:

$$f(x)=\left\{ \begin{matrix} 2{ x }^{ 2 } & x<0 \\\ 2 & x=0 \\\ 2\sin{x} & x>0 \end{matrix} \right.$$

...which of the following pairs of statements about the continuity of the piecewise function is true?