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JEE Advanced 2014 Paper 2

The questions are based on the paragraph

Given that for each a∊(0,1),

lim

h→0+

‌

1−h

∫

t−a(1−t)a−1dt exits.Let this limit be g(a).In addition, it is given that the function g(a) is differentiable on (0,1)

Question : 55

Total: 60

The value of g(

) is

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