## Limit with gamma function gives incorrect answer

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 Limit with gamma function gives incorrect answer Ed Scheinerman 8/6/13 9:01 PM When I try this:sage: y = gamma(x+1/2)/gamma(x)/sqrt(x)sage: limit(y,x=oo)0sage: plot(y,x,1,50)I observe that the limit appears to be 1, not 0. Indeed, Mathematica confirms:In[1]:= y = Gamma[x + 1/2]/(Gamma[x]*Sqrt[x])Out[1]= Gamma[1/2 + x]/(Sqrt[x] Gamma[x])In[2]:= Limit[y, x -> Infinity]Out[2]= 1 Re: Limit with gamma function gives incorrect answer kcrisman 8/7/13 6:35 AM On Wednesday, August 7, 2013 12:01:49 AM UTC-4, Ed Scheinerman wrote:When I try this:sage: y = gamma(x+1/2)/gamma(x)/sqrt(x)sage: limit(y,x=oo)0sage: plot(y,x,1,50)I observe that the limit appears to be 1, not 0. This is how it happens in Maxima.(%i2) y:gamma(x+1/2)/(sqrt(x)*gamma(x));                                           1                                 gamma(x + -)                                           2(%o2)                          ----------------                               sqrt(x) gamma(x)(%i3) limit(y,x,0);(%o3)                                  0I've reported this at https://sourceforge.net/p/maxima/bugs/2621/ - if someone can open a Sage ticket for this, it would be helpful, as I don't have tons of internet time right now. Re: [sage-support] Re: Limit with gamma function gives incorrect answer Jose Guzman 8/11/13 1:56 AM Reported in http://trac.sagemath.org/ticket/15033#ticket #15033: Wrong limit value of expression involving gamma function -- Jose Guzman http://www.ist.ac.at/~jguzman/