Let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit \lim_{x\to 0^{+}} {(1-x)^{ \frac{1}{x}}-e^{-1}}/{x^{a}} is equal to a nonzero real number, is _____ [JEE Adv 2020 P1]

Limits, Continuity and Differentiability

Section: Mathematics

Question : 17 of 51

Marks: +1, -0

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)

−e−1

is equal to a nonzero real number, is _____

[JEE Adv 2020 P1]

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