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Given that for each `a epsilon(0,1),lim_(hto 0^(+)) int_(h)^(1-h)t^(-a)(1-t)^(a-1)dt` exists. Let this limit be `g(a)`. In addition it is given 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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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 3 Part - I
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