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

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

A

(a) Continuous at the origin

B

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

C

(c) Discontinuous at the origin because `(|x|)/(x)` is discoutinuos there

D

(d) Discontinuous at the origin because both `|x|` and `(|x|)/(x)` is discoutinuos there

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The correct Answer is:

C

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