The function \[f(x)={{x}^{2}}\,\,\sin \frac{1}{x},\,x\ne \,0,\,\,f(0)\,=0\] at \[x=0\] [MP PET 2003]

Is continuous but not differentiable

Is having continuous derivative

Is continuous and differentiable

The function � – McqOptions

1.	The function \[f(x)={{x}^{2}}\,\,\sin \frac{1}{x},\,x\ne \,0,\,\,f(0)\,=0\] at \[x=0\] [MP PET 2003]
A.	Is continuous but not differentiable
B.	Is discontinuous
C.	Is having continuous derivative
D.	Is continuous and differentiable
Answer» E.

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The function \[f(x)={{x}^{2}}\,\,\sin \frac{1}{x},\,x\ne \,0,\,\,f(0)\,=0\] at \[x=0\] [MP PET 2003]

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