The function \[f(x)=|x|+\frac{|x|}{x}\] is [Karnataka CET 2003]

1.	The function \[f(x)=\|x\|+\frac{\|x\|}{x}\] is [Karnataka CET 2003]
A.	Continuous at the origin
B.	Discontinuous at the origin because \|x\| is discontinuous there
C.	Discontinuous at the origin because \[\frac{\|x\|}{x}\] is discontinuous there
D.	Discontinuous at the origin because both \|x\| and \[\frac{\|x\|}{x}\] are discontinuous there
Answer» D. Discontinuous at the origin because both \|x\| and \[\frac{\|x\|}{x}\] are discontinuous there

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The function \[f(x)=|x|+\frac{|x|}{x}\] is [Karnataka CET 2003]

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