[Date Index]
[Thread Index]
[Author Index]
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
Prev by Date:
**Re: What am I doing wrong with this code?**
Next by Date:
**Re: EventHandler question**
Previous by thread:
**Re: Extracting solutions from Solve[]**
Next by thread:
**Re: Why does Sum return 0 on this series?**
| |