#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).

--
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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