JEE Advanced 2020 Paper 1 Mathematics Q18

Mathematics

Problem

Let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit lim_(x→0⁺) [(1 − x)^(1/x) − e⁻¹]/xᵃ is equal to a nonzero real number, is _____.

Browse the problem library