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If f(x) = {((x-2)/(|x-2|)+a, ",",x lt2),...

If `f(x) = {((x-2)/(|x-2|)+a, ",",x lt2),(a+b, ",", x = 2 ),((x-2)/(|x-2|)+b, ",",x gt 2):}` is continuous at x = 2, then a+b =

A

(a) 2

B

(b) 1

C

(c) 0

D

(d) -1

Text Solution

Verified by Experts

The correct Answer is:
C
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