Let e denote the base of the | Maths | JEE ADVANCED 2020

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JEE Advanced 2020

Paper-1 2020

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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 $\_\_\_\_$ .

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