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A function f(x)=x[1+(1/3) sin (Inx^2)], ...

A function `f(x)=x[1+(1/3) sin (Inx^2)], x != 0`. integral part `f(0)=0`. Then the function

A

continous and monotonic increasing everywhere

B

continous and differentiable everywhere

C

nondifferentiable and monotonic everywhere

D

differentiable and monotonic everywhere

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