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If f(x)={{:(xsin((1)/(x))", if "xne0),(0...

If `f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):}` then at x=0 the function f is

A

differentiable and not continuous

B

continuous but not differentiable

C

not continuous

D

continuous and differentiable

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The correct Answer is:
B
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