Let m and n be two...... | JEE Advanced 2015 | Mathematics

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JEE Advance 2015

Paper-2 2015

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Let $m$ and $n$ be two positive integers greater than 1 . If $\lim _{\alpha \rightarrow 0}\left(\frac{e^{\cos \left(\alpha^n\right)}-e}{\alpha^m}\right)=-\left(\frac{e}{2}\right)$, then the value of $\frac{m}{n}$ is

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