#15033: Wrong limit value of expression involving gamma function
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Reporter: JGuzman | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.3
Component: calculus | Resolution:
Keywords: maxima, gamma, limit | Merged in:
Authors: | Reviewers:
Report Upstream: Reported upstream. No | Work issues:
feedback yet. | Commit:
Branch: | Stopgaps:
Dependencies: |
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Comment (by pbruin):
This is bizarre. With Sage 6.2:
{{{
sage: f(x) = gamma(x+1/2)/gamma(x)/sqrt(x)
sage: limit(f,x=oo)
x |--> 0
}}}
After #13973:
{{{
sage: f(x) = gamma(x+1/2)/gamma(x)/sqrt(x)
sage: sage.calculus.calculus.maxima('domain: real') # takes forever
otherwise
real
sage: limit(f,x=oo)
x |--> +Infinity
}}}
And indeed in Maxima 5.33.0:
{{{
(%i1) f: gamma(x+1/2)/gamma(x)/sqrt(x);
1
gamma(x + -)
2
(%o1) ----------------
sqrt(x) gamma(x)
(%i2) limit(f, x, inf);
(%o2) inf
}}}
So we go from one incorrect answer to another...
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Ticket URL: <http://trac.sagemath.org/ticket/15033#comment:3>
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