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Let f : R -> R be defined as f(x)={0, ...

Let `f : R -> R` be defined as `f(x)={0, x` is irrational `sin|x|, x` is rational Then which of the following is true ?

A

f is discontinuous for all x

B

f is continuous for all x

C

f is discontinuous at `x=kpi`, where k is an integer.

D

f is continuous at `x=kpi`, where k an integer.

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The correct Answer is:
D
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