Which one of the following is correct in respect of the function f(x)=\frac{x^2}{|x|} for x \neq 0 and f(0)=0 ?

Correct Answer is : f(x) is continuous every where

f(x) is discontinuous every where

f(x) is discontinuous at x=0 only

UPSC NDA 2 2012 Mathematics Paper

Question : 65 of 120

Marks: +1, -0

Which one of the following is correct in respect of the function f(x)=‌

|x|

for x≠0 and f(0)=0 ?

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