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Given that for each a in (0,1), unders...

Given that for each `a in (0,1),`
`underset(h rarr 0)(lim) int_h^(1 - h) t^-a (1 - t)^a dt`
exists. Let this limit be g(a). In addition , it is given that the function g(a) is differentiable on (0 , 1).
The value of g'(1/2) is

A

`pi/2`

B

`pi`

C

`-pi/2`

D

0

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The correct Answer is:
D
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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
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