Given that for each a epsilon(0,1),lim(h...

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

`pi`

`2pi`

`pi/2`

`pi//4`

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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

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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