> lim(27^log(n,3)/n^3, n=infinity)
>

Indeed, if you 
use 
http://en.wikipedia.org/wiki/List_of_logarithmic_identities#Canceling_exponentials
 
you can easily see that the expression equals 1 in the first place! 
Plotting it yields the same.

But unfortunately Maxima does not seem to have this identity, partly 
perhaps because it only has the 'natural' logarithm.

However,

(%i7) limit(2^(log(x)/log(2))/x,x,inf);
(%o7)                                  1

so it at least sort of knows this.  I wonder if anyone else has any ideas 
here?

 

> returns 0.
> However both Wolfram Alpha (
> http://www.wolframalpha.com/input/?i=lim+n-%3Einfty+27%5Elog3%28n%29%2Fn%5E3) 
> and Maple return 1.
> Is this a bug in Sage?
>

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