Sunday, July 29, 2018

The limit limntoinftynan=0

Let a[0,1). I want to show that limnnan=0



My try : nan=ne(loga)n

and the limit is ++

Hence by l'Hopital's rule we have that
limn1(loga)e(loga)n=1=0



Is there any other way to compute this limit ? thanks!

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