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

**References**:**What we from 1^Infinity, Infinity^0, and similar stuff***From:*ted.ersek@tqci.net