#13526: simple incorrect limit
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Reporter: pang | Owner: burcin
Type: defect | Status: new
Priority: minor | Milestone:
Component: symbolics | Keywords: symbolic, limit
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Sage incorrectly computes:
{{{
var('n')
l = (3^n + (-2)^n) / (3^(n+1) + (-2)^(n+1))
l.limit(n=oo)
}}}
gives 0.
However,
{{{
var('n')
l = (3^n + (-2.0)^n) / (3^(n+1) + (-2)^(n+1))
l.limit(n=oo)
}}}
gives the correct result 1/3, and
{{{
var('n')
assume(n,'integer')
l = (3^n + (-2)^n) / (3^(n+1) + (-2)^(n+1))
l.limit(n=oo)
}}}
also does.
maxima also gives the value 0 to the corresponding limits, but changing
(-2)\^n by (-2.0)\^n only produce meaningless results.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13526>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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