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Let f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):...

Let `f (x)={(x^2sin(1/x),x!=0,),(0,x=0,):}` then at x = 0

A

f is continuous but not differentiable

B

f is continuous but f' is not continuous

C

f' is continuous but not differentiable

D

f and f' both are continuous

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The correct Answer is:
B
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