If \[f(x)=\left\{ \begin{align} & \frac{1-\cos x}{x},\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k,\,x=0 \\ \end{align} \right.\]is continuous at \[x=0\] then \[k=\] [Karnataka CET 2004]

If \[f(x)=\left\{ \begin{align} & \frac{1-\cos x}{x},\,x\ne 0 \\

1.	If \[f(x)=\left\{ \begin{align} & \frac{1-\cos x}{x},\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k,\,x=0 \\ \end{align} \right.\]is continuous at \[x=0\] then \[k=\] [Karnataka CET 2004]
A.	0
B.	\[\frac{1}{2}\]
C.	\[\frac{1}{4}\]
D.	\[-\frac{1}{2}\]
Answer» B. \[\frac{1}{2}\]

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If \[f(x)=\left\{ \begin{align} & \frac{1-\cos x}{x},\,x\ne 0 \\ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,k,\,x=0 \\ \end{align} \right.\]is continuous at \[x=0\] then \[k=\] [Karnataka CET 2004]

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