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If {:(f(x),=(|x|)/(x),",","for" x != 0),...

If `{:(f(x),=(|x|)/(x),",","for" x != 0),(,=1, ",","for" x = 0):}`, then f(x) is

A

continuous at x = 0

B

discontinuous at x = 0

C

`lim_(x to 0^(-))f(x) = 1`

D

`lim_(x to 0^(+))f(x) = -1`

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The correct Answer is:
B
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