Re: Strange result of Limit function in Mathematica3.0
- To: mathgroup at smc.vnet.net
- Subject: [mg16025] Re: Strange result of Limit function in Mathematica3.0
- From: Ed McBride <emcbride at wybron.com>
- Date: Sat, 20 Feb 1999 02:52:10 -0500
- Organization: Wybron, Inc.
- References: <7aj802$ihd@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Jan Krupa wrote: > > It is well known that: > (2^n+8^n)^(1/n)->8 as n->Infinity > and > (2^n+3^n)^(1/n)->3 as n->Infinity > > but mathematica3.0 gives very strange results: > > In[1]:=<<Calculus`Limit` > > In[2]:= Limit[(2^n+8^n)^(1/n),n->Infinity] > > Out[2]:= 1/E > > In[3]:=Limit[(2^n+3^n)^(1/n),n->Infinity] > > Out[3]:= E > > Does Mathematica3.0 give such strange result only > on my machine or may be I have made some mistake? > > Sincerely Yours > > Jan I'm running 3.0 on SGI using a unix-type system. I started off with Limit[(3.^n+8.^n)^(1./n), n->Infinity] and Mathematica just gave me back my input. I then retyped it, with n->5, and it gave me the correct numerical result. I then typed <<Calculus`Limit` and tried again. For n->5, I again got the correct numerical result. For n->Infinity, I got 1 for an answer. Ed McBride, P.E.