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If f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b...

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

A

2

B

1

C

0

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
C
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