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IF the function f(x) defined by ...

IF the function f(x) defined by
` f(x) = x sin ""(1)/(x)` for `x ne 0`
`=K ` for ` x =0`
is continuous at ` x=0` , then k=

A

continuous but not differentiable at x=0

B

discontinuous but differentiable at x=0

C

differentiable at x=0

D

can not be determined

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