The largest value of the nonnegative integer a for which _ x 1 -ax + (x - 1) + a x + (x - 1) - 1 ^ 1-x 1- x = 1 4 is

JEE Advanced 2014 Mathematics question

The largest value of the nonnegative integer a for which

{}^{} =

Answer: 0

The base is ; dividing by and using , it tends to . The exponent . So the limit is \dfrac{1 - a}{2}$ =

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Question ID VK-026300