#15395: Wrong limit for squence involving Fibonacci sequence, 0 instead of
golden
ratio
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Reporter: aginiewicz | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.4
Component: calculus | Resolution:
Keywords: limit,golden_ratio | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by aginiewicz):
I don't know when it happened, but in 6.4.1 the limit works:
{{{
sage: limit(F1(k+1)/F1(k), k=oo)
1/2*sqrt(5) + 1/2
}}}
but the comparison
{{{
sage: F1(k) = (golden_ratio^k-(value_1)^(k))/sqrt(5)
sage: F2(k) = (golden_ratio^k-(value_2)^(k))/sqrt(5)
sage: bool(F1(k) != F2(k))
true
}}}
is still wrong. Slightly minified example:
{{{
sage: value_1 = 1-golden_ratio
sage: value_2 = -golden_ratio^(-1)
sage: bool(value_1 == value_2)
True
sage: bool(value_1^x != value_2^x)
True
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15395#comment:5>
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