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If f(x) is continuous on [-2, 2], where ...

If `f(x)` is continuous on [-2, 2], where `f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):}`, then `a+b=`

A

-15

B

0

C

2

D

-2

Text Solution

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The correct Answer is:
D
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