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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 becaue |x| is discontinuous there

B

continuous at the origin

C

discontinuous at the origin because |x| and |x|/x is discontinuous there

D

discontinuous at the origin because |x|/x is discontinuous there

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The correct Answer is:
D
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