Let m and n be two positive integers greater than 1 . If \displaystyle\sf \lim_(a\to 0 )\bigg\lgroup (e^(\cos(a^n))-e)/(a^m)\bigg\rgroup =-\bigg\lgroup (e)/(2)\bigg\rgroup Then …

Question

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


`\displaystyle\sf \lim_(a\to 0 )\bigg\lgroup (e^(\cos(a^n))-e)/(a^m)\bigg\rgroup =-\bigg\lgroup (e)/(2)\bigg\rgroup`

Then the value of
`(m)/(n)` is ? ​

Answer 1

SOLUTION :-

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