Question 45

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


Correct Answer: 2


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