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Question 1
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Let $f(x)=\begin{cases}{{x}^2\sin \frac{1}{x}} & {,\, x\ne0} \\ {0} & {,x=0}\end{cases}$
Then which of the follwoing is true
A.
f(x) is not continuous at x=0
B.
f(x) is not differentiable at x=0
C.
f'(x) is not continuous at x=0
D.
f'(x) is continuous at x=0
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