**Question: **What values of the constant m if any is

\[f\left( x \right)=\left\{ \begin{align}

& \sin 2x\,\,\,\,\,\,x\le 0 \\

& mx\,\,\,\,\,\,\,\,\,\,\,\,\,x>0 \\

\end{align} \right.\]

a.) continuous at x = 0

b.) differentiable at x = 0.

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