If \[f(x)=\left\{ \begin{align} & \frac{\sin 2x}{5x},\text{when}\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,k,\text{when }x=0 \\ \end{align} \right.\] is continuous at\[x=0\], then the value of k will be [AI CBSE 1991]

If \[f(x)=\left\{ \begin{align} & \frac{\sin 2x}{5x},\text{when}\,x

1.	If \[f(x)=\left\{ \begin{align} & \frac{\sin 2x}{5x},\text{when}\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,k,\text{when }x=0 \\ \end{align} \right.\] is continuous at\[x=0\], then the value of k will be [AI CBSE 1991]
A.	1
B.	\[\frac{2}{5}\]
C.	\[-\frac{2}{5}\]
D.	None of these
Answer» C. \[-\frac{2}{5}\]

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If \[f(x)=\left\{ \begin{align} & \frac{\sin 2x}{5x},\text{when}\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,k,\text{when }x=0 \\ \end{align} \right.\] is continuous at\[x=0\], then the value of k will be [AI CBSE 1991]

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