If f(x) = {((|x-a|)/(x-a), ",","when"x !...

If `f(x) = {((|x-a|)/(x-a), ",","when"x != a),(1, ",", "when"x = a ):}` , then

A

(a) f(x) is continuous at x = a

B

(b) f(x) is discontinuous at x = a

C

(c) `lim_(x to a)f(x) = 1`

D

(d) `lim_(x to a^(-))f(x) = lim_(x to a^(+))f(x)`

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The correct Answer is:

B

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