[Solved] Q57 - The largest value of the nonnegative integer a for which \\lim_{x \\rightarrow 1}\\left\\\\{\\frac{-ax + \\sin (x - 1) + a }{x + \\sin (x - 1) - 1}\\right\\\\}^{\\frac{1 - x}{1 - \\sqrt x}} = \\frac{1}{4} - - JEE (Advanced) 2014 Paper-1