(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that n^(logc)/c^(logn) =1 as n->inf where c is a constant greater than 1

2. Relevant equations

3. The attempt at a solution

Tried L'hospitals. But the logs mess it up. Even if you assume that logc>1 then the top does eventually become a constant (second derivative). However the bottom gets too messy. Is there another method to start it?

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# Homework Help: Show that n^(logc)/c^(logn) =1 as n->inf

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