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Re: bug in the "Calculus`Limit`"

  • To: mathgroup at smc.vnet.net
  • Subject: [mg15411] Re: [mg15399] bug in the "Calculus`Limit`"
  • From: Daniel Lichtblau <danl>
  • Date: Wed, 13 Jan 1999 20:57:25 -0500
  • References: <199901120814.DAA22535@smc.vnet.net.>
  • Sender: owner-wri-mathgroup at wolfram.com

trif at ipm.marine.su wrote:
> 
> Hi, Mathematica people.
> Look at this:
> 
> In[1]:=Limit[(3^n+5^n)/(3^n-5^n),n->Infinity]
> Out[1]:=Limit[(3^n+5^n)/(3^n-5^n),n->Infinity]
> 
> In[2]:=Needs["Calculus`Limit`"]
> 
> In[3]:=Limit[(3^n+5^n)/(3^n-5^n),n->Infinity] Out[3]:=-3
> 
> ???
> 
> In[4]:=ListPlot[ Table[(3^n+5^n)/(3^n-5^n),{n,100}] ]
> 
> Version: Mathematica 3.0 OS: Windows95
> 
> -----------
> Evgeny
> 
> -----------== Posted via Deja News, The Discussion Network ==----------
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If it is any encouragement our next release will handle this with the
built-in Limit function.

In[1]:= Limit[(3^n+5^n)/(3^n-5^n),n->Infinity] Out[1]= -1

This does not excuse the bug noted in the Calculus`Limit package (though
in our defense, my experience working on the built-in Limit is that
this can be tricky stuff to do correctly). There are plans to do
further work on Limit for a future release.


Daniel lichtblau
Wolfram Research


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