If f(x)={:{(x", for " 0 le x lt 1/2),(1-...

If `f(x)={:{(x", for " 0 le x lt 1/2),(1-x", for " 1/2 le x lt 1):}` , then

A

(a) f(x) is continuous at` x = 1/2`

B

(b) f(x) is discontinuous at` x = 1/2`

C

(c) `lim_(x to (1^-)/2) f(x) = 1`

D

(d) `lim_(x to (1^+)/2) f(x) = 1`

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The correct Answer is:

A

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