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Limits Continuity and Differentiability question

2015 · Shift 2 · Q40

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JEE Advanced
Mathematics
Limits Continuity and Differentiability
2015 · Shift 2 · Q40

Limits Continuity and Differentiability question

2015 · Shift 2 · Q40

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1

Let m and n be two positive integers greater than 1. If

\mathop {\lim }\limits_{\alpha \to 0} \left( {{{{e^{\cos \left( {{\alpha ^n}} \right)}} - e} \over {{\alpha ^m}}}} \right) = - \left( {{e \over 2}} \right)

then the value of

{m \over n}

is

\underline{\hspace{2cm}}

.

Numerical answer

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