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MathGroup Archive 2006

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Re: Possible bug concerning a limit computation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71122] Re: Possible bug concerning a limit computation
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Thu, 9 Nov 2006 03:37:20 -0500 (EST)
  • Organization: The Open University, Milton Keynes, UK
  • References: <eish78$nrd$1@smc.vnet.net>

geo_topos wrote:
> Hello everyone,
> I don't know if this is the right place to post this, but here it goes.
> I am a high-school math teacher from greece. I was working with my
> students on the limit:
> 
> Limit[ (Sqrt[7x^4+6x+5] - Sqrt[7x^4+3x+3]) * Sqrt[63x^2-5x+20, x->
> Infinity]
> 
> The result we got for that is 9/2. Mathematica 4.0 will produce the
> opposite result: -9/2.

Mathematica 5.2 agrees with the positive result

In[1]:=
Limit[(Sqrt[7*x^4 + 6*x + 5] - Sqrt[7*x^4 + 3*x + 3])*
    Sqrt[63*x^2 - 5*x + 20], x -> Infinity]

Out[1]=
9
-
2

In[2]:=
$Version

Out[2]=
5.2 for Microsoft Windows (June 20, 2005)

Regards,
Jean-Marc


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