#15386: Maxima is confused about limits at infinity
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Reporter: ddrake | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-5.13
Component: symbolics | Keywords: maxima limit
Merged in: | Authors:
Reviewers: | Report Upstream: Not yet reported upstream;
Work issues: | Will do shortly.
Commit: | Branch:
Stopgaps: | Dependencies:
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From https://groups.google.com/forum/#!topic/sage-support/dwR4kuBmiQo :
{{{
n = var('n')
assume(n>0)
series = -(3*n^2 + 1)*(-1)^n/sqrt(n^5 + 8*n^3 + 8)
limit(series, n=infinity)
38/25*pi^2*und
}}}
...when the limit is clearly zero.
The problem seems related to the `n^2` in the numerator:
{{{
sage: series = -(1)*(-1)^n/sqrt(n^5 + 8*n^3 + 8)
sage: limit(series, n=infinity)
0
sage: series = (n^2)*(-1)^n/sqrt(n^5 + 8*n^3 + 8)
sage: limit(series, n=infinity)
-38/75*pi^2*und
}}}
This seems to be an upstream problem with Maxima (see the sage-support
thread).
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Ticket URL: <http://trac.sagemath.org/ticket/15386>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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