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MathGroup Archive 1999

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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.


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