Re: Very simple limit, why doesn't it evaluate?

*To*: mathgroup at smc.vnet.net*Subject*: [mg31920] Re: [mg31909] Very simple limit, why doesn't it evaluate?*From*: BobHanlon at aol.com*Date*: Wed, 12 Dec 2001 04:14:00 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

In a message dated 12/11/01 2:22:26 AM, dust-NOSPAM- at tenbit.pl writes: >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? > I have version 4.1; however, this will probably work in version 3. Needs["Calculus`Limit`"]; Limit[4^(n+3)/(3^(n+4)-5), n->Infinity] Infinity Oddly, version 4.1 does not show the add-on Calculus`Limit in the Help Browser. Bob Hanlon Chantilly, VA USA