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Select 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

(a) `lim_(x to 0)f(x) != f(0)`

B

(b) `lim_(x to 0^(+))f(x)` does not exist

C

(c) `lim_(x to 0^(-))f(x)` does not exist

D

(d) `lim_(x to 0)f(x)` does not exist

Text Solution

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The correct Answer is:
D
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