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Range of f(x)=sin^(-1)x+tan^(-1)x+sqrt(x...

Range of `f(x)=sin^(-1)x+tan^(-1)x+sqrt(x+1)` is `[a,b]` then `b+a` is equal to

A

`(pi)/2`

B

`sqrt(2)`

C

`(pi)/4`

D

`(pi)/2+3`

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