#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: N/A
Reviewer: | Author:
Merged: | Dependencies:
------------------------+---------------------------------------------------
The two sums
{{{
sage: var('x');
sage: sum(1/x*(-1)^x, x, 1, oo)
-log(2)
sage: sum(1/x*(-1)^x, x, 0, oo)
-log(2)
}}}
return the same, but shouldn't. The latter sum is divergent because of the
summand `1/0`.
It works correctly, when not using the `(-1)^x`, e.g.:
{{{
sage: sum(1/x^2, x, 1, oo)
1/6*pi^2
sage: sum(1/x^2, x, 0, oo)
Traceback (most recent call last)
...
ValueError: Sum is divergent.
}}}
(Calculating `sum(1/x^2*(-1)^x, x, 0, oo)` gives the wrong result, too.)
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12410>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
