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Let f:RrarrR be function defined by f(x)...

Let `f:RrarrR` be function defined by `f(x)={(sin(x^2)/2, ifx!=0),(0,if x=0):}` Then, at x=0, f is

A

not continuous

B

continuous but not differentiable

C

differentiable and the derivative is not continuous

D

differentiable and the derivative is continuous.

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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
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