1.

If \[f(x)=\left\{ \begin{align} & x\sin \frac{1}{x},\,\,x\ne 0 \\  & \,\,\,\,\,\,\,\,\,\,\,\,k,\,\,x=0 \\ \end{align} \right.\]is continuous at \[x=0\], then the value of k is [MP PET 1999; AMU 1999; RPET 2003]

A. 1
B. ?1
C. 0
D. 2
Answer» D. 2


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