[Solved] Let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit \\lim_{x \\rightarrow 0^{+}}\\frac{(1-x)^{\\frac{1}{x}}- e^{-1}}{x^{a}} is equal to a nonzero real number, is _____ - - JEE (Advanced) 2020 Paper-1