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Select the write the most appropriate answer from the given alternatives in each of the following :
The function `f(x)=(|x|)/(x^(2)+2x), x ne 0and f(0)=0` is not continuous at `x=0` because

A

`underset(xto0)limf(x)ne f(0)`

B

`underset(xto0)limf(x)` does not exist

C

`underset(xto0)limf(x)1/2`

D

`underset(xto0)limf(x)=-1/2.`

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