#12410: divergent alternating sum gives finite result
------------------------+---------------------------------------------------
Reporter: dkrenn | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.0
Component: calculus | Keywords: alternating sum divergent result
Work_issues: | Upstream: Not yet reported upstream; Will do
shortly.
Reviewer: | Author:
Merged: | Dependencies:
------------------------+---------------------------------------------------
Changes (by kcrisman):
* upstream: N/A => Not yet reported upstream; Will do shortly.
Comment:
Yikes! This is in Maxima.
{{{
Maxima 5.26.0 http://maxima.sourceforge.net
using Lisp SBCL 1.0.24
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
The function bug_report() provides bug reporting information.
(%i1) load(simplify_sum);
(%o1) /Users/.../maxima-5.26.0/share/contrib/solve_re\
c/simplify_sum.mac
(%i2) simplify_sum(sum(1/x*(-1)^x,x,1,inf));
(%o2) - log(2)
(%i3) simplify_sum(sum(1/x*(-1)^x,x,0,inf));
(%o3) - log(2)
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12410#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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