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

f(x) is continuous at x = 0 only

f (x) is discontinuous every where

f (x) is continuous every where

f(x) is discontinuous at x = 0 only

Which one of the following is correct in respect of the function \[f(x

1.	Which one of the following is correct in respect of the function \[f(x)=\frac{{{x}^{2}}}{\left\| x \right\|}\] for \[x\ne 0\] and f(0) = 0?
A.	f (x) is discontinuous every where
B.	f (x) is continuous every where
C.	f(x) is continuous at x = 0 only
D.	f(x) is discontinuous at x = 0 only
Answer» C. f(x) is continuous at x = 0 only

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

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