Fun with zero sums

*To*: mathgroup at smc.vnet.net*Subject*: [mg77133] Fun with zero sums*From*: "David W.Cantrell" <DWCantrell at sigmaxi.net>*Date*: Mon, 4 Jun 2007 03:56:56 -0400 (EDT)

I'm using Mathematica 5.2; if Mathematica 6 behaves differently, I'd be interested to know it. In[1]:= Sum[0, {n, 1, Infinity}] Out[1]= 0 which is as, I think, it should be. But then we have the following sums, which all disappoint, in different ways. In[2]:= Sum[0^n, {n, 1, Infinity}] Out[2]= Sum[0^n, {n, 1, Infinity}] In[3]:= Sum[0^(2*n - 1), {n, 1, Infinity}] Warning about "Infinite expression encountered." Out[3]= ComplexInfinity In[4]:= Sum[0^(2*n + 1), {n, 1, Infinity}] Warning about "Indeterminate expression encountered." Out[4]= Indeterminate Of course, Out[2..4] should have been 0, just like Out[1]. David W. Cantrell

**Follow-Ups**:**Re: Fun with zero sums***From:*Devendra Kapadia <dkapadia@wolfram.com>