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Limits Continuity and Differentiability question

2020 · Shift 1 · Q36

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JEE Advanced
Mathematics
Limits Continuity and Differentiability
2020 · Shift 1 · Q36

Limits Continuity and Differentiability question

2020 · Shift 1 · Q36

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit

\mathop {\lim }\limits_{x \to {0^ + }} {{{{(1 - x)}^{1/x}} - {e^{ - 1}}} \over {{x^a}}}

is equal to a non-zero real number, is .............

Numerical answer

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