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Re: Possible bug concerning a limit computation
*To*: mathgroup at smc.vnet.net
*Subject*: [mg71142] Re: Possible bug concerning a limit computation
*From*: "dimitris" <dimmechan at yahoo.com>
*Date*: Thu, 9 Nov 2006 03:38:07 -0500 (EST)
*References*: <eish78$nrd$1@smc.vnet.net>
Geia Hara! (another poster from Greece!)
Mathematica 5.2 gives the right answer
Limit[(Sqrt[7*x^4 + 6*x + 5] - Sqrt[7*x^4 + 3*x + 3])*Sqrt[63*x^2 - 5*x
+ 20], x -> Infinity]
N[%]
9/2
4.5
You can verify this result as follows
Needs["NumericalMath`"]
NLimit[(Sqrt[7*x^4 + 6*x + 5] - Sqrt[7*x^4 + 3*x + 3])*Sqrt[63*x^2 -
5*x + 20], x -> Infinity, WorkingPrecision -> 40]
4.4999964199295674409523166372`15.67626782000026
Here is also a very nice animation
fr[n_]:=Plot[(Sqrt[7*x^4+6*x+5]-Sqrt[7*x^4+3*x+3])*Sqrt[63*x^2-5*x+20],{x,
0,n},PlotRange\[Rule]{{0,10},{2,6.5}},
Frame\[Rule]{True,True,False,False}]
Table[fr[n],{n,1,10,0.1}];
SelectionMove[EvaluationNotebook[],All,GeneratedCell];
FrontEndTokenExecute["CellGroup"]
FrontEndTokenExecute["OpenCloseGroup"]
Double click somewhere inside the graohics to get the animation
I don't have Mathematica v.4 now installed but try to use the following
setting
to see if it might work...
Limit[function,x->Infinity,Direction->1]
Best Regards
Dimitris Anagnostou
Researcher Associate
National Technological University of Athens
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