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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

not continuous

B

continuous and differentiable

C

differentiable but not continuous

D

continuous but not differentiable

Text Solution

Verified by Experts

The correct Answer is:
D
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