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MathGroup Archive 2005

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Re: What we from 1^Infinity, Infinity^0, and similar stuff

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63329] Re: [mg63308] What we from 1^Infinity, Infinity^0, and similar stuff
  • From: Murray Eisenberg <murray at math.umass.edu>
  • Date: Sat, 24 Dec 2005 07:18:55 -0500 (EST)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <200512231008.FAA25900@smc.vnet.net>
  • Reply-to: murray at math.umass.edu
  • Sender: owner-wri-mathgroup at wolfram.com

Same result in Mathematica 5.2.

ted.ersek at tqci.net wrote:
> I am using Mathematica 4.1, and version 5 may work different in this case.
> 
> It seems I can compute (1^z) where (z) has any numeric value and
> Mathematica returns the Integer 1. I can also compute (z^0) where (z) is
> any non zero value and Mathematica returns the Integer 1. Hence I think
> the following should return {1,1,1,1,1,1,1}. Can someone explain why that
> would be wrong?
> 
> In[1]:= Off[Power::indet, Infinity::indet];
> 
>         {1^Infinity, 1^(-Infinity), 1^ComplexInfinity,
>           1^(0*Infinity), Infinity^0, (-Infinity)^0, ComplexInfinity^0}
> 
> Out[2]= {Indeterminate, Indeterminate, Indeterminate, Indeterminate,
>            Indeterminate, Indeterminate, Indeterminate}
> 

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305


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