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Let m and n be two positive integers greater than 1. If lim(alpha,0) (e^cos(alpha^n) - e/ alpha^m) = -(e/2) then the value of m/n

Let m and n be two positive integers greater than 1. If lim(alpha,0) (e^cos(alpha^n) - e/ alpha^m) = -(e/2) then the value of m/n is

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