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Re: Very simple limit, why doesn't it evaluate?
Computing limits is done by means of a number of ad hoc tricks rather than a universal algorithm, so there will always be cases that Mathematica can't manage but can be done "by hand". In general when Mathematica can't find a limit it is a good idea to load in the Calculus`Limit` package and try again. In this case this case we get: << Calculus`Limit` In:= Limit[4^(3 + n)/(-5 + 3^(4 + n)), n -> Infinity] Out= Infinity This is with Mathematica 4.1 so I am not sure what happens with 3.0 but I suspect the same thing. Andrzej Kozlowski Toyama International University JAPAN http://platon.c.u-tokyo.ac.jp/andrzej/ On Tuesday, December 11, 2001, at 03:33 PM, Jacek Dziedzic wrote: > It stunned me that the Mathematica 3.0 returns this very simple limit > unevaluated: > 4^(n+3)/(3^(n+4)-5), with n -> infinity. > > Moreover, the NLimit function returns 1.0756... which is a rather poor > approximation of infinity (the expected result)... Well I can understand > that NLimit is numerical and can't be relied on, but why does the > original > Limit die on that? Or am I doing anything wrong? > > - Jacek Dziedzic > > > > >