[Solved] Let m and n be two positive integers greater than 1. If \\lim_{\\alpha \\rightarrow 0} \\left(\\frac{e^{\\cos(\\alpha^n)} - e}{\\alpha^m}\\right) = -\\left(\\frac{e}{2}\\right) then the value of \\frac{m}{n} is - - JEE (Advanced) 2015 Paper-2