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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