Very simple limit, why doesn't it evaluate?

*To*: mathgroup at smc.vnet.net*Subject*: [mg31909] Very simple limit, why doesn't it evaluate?*From*: "Jacek Dziedzic" <dust-NOSPAM- at tenbit.pl>*Date*: Tue, 11 Dec 2001 01:33:46 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

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