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The function f(x)=|x|+(|x|)/(x) is...

The function `f(x)=|x|+(|x|)/(x)` is

A

discontinuous at the origin because |x| is discontinuous there

B

continuous at the origin

C

discontinuous at the origin because both |x| and `(|x|)/(x)` are discontinuous there

D

discontinuous at the origin because `(|x|)/(x)` is discontinuous there

Text Solution

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The correct Answer is:
D
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