Why does Sum return 0 on this series?
- To: mathgroup at smc.vnet.net
- Subject: [mg82537] Why does Sum return 0 on this series?
- From: Adam Weyhaupt <aweyhau at siue.edu>
- Date: Wed, 24 Oct 2007 04:24:13 -0400 (EDT)
In Mathematica 6.0.1 on Mac OS X, Sum returns 0 on this series. In[1]:= Sum[Log[n]^4/n^2, {n, 2, Infinity}] Out[1]= 0 In[2]:= $Version Out[2]= "6.0 for Mac OS X x86 (32-bit) (June 19, 2007)" Of course that's not right, because the terms are all positive. I don't expect Sum to always return a correct answer for any series (that would be unreasonable), and NSum is the more appropriate command to investigate this series numerically. But 0 seems like a very strange answer. Can anyone provide any insight on why Mathematica is returning 0 for the sum of a positive series? Thanks, Adam ----- Adam Weyhaupt Department of Mathematics and Statistics Southern Illinois University Edwardsville aweyhau at siue.edu http://www.siue.edu/~aweyhau/ Science Building 1316 (618) 650-2220
- Follow-Ups:
- Re: Why does Sum return 0 on this series?
- From: Devendra Kapadia <dkapadia@wolfram.com>
- Re: Why does Sum return 0 on this series?
- From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
- Re: Why does Sum return 0 on this series?