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Re: Ambiguity of "Plot"

  • To: mathgroup at smc.vnet.net
  • Subject: [mg127830] Re: Ambiguity of "Plot"
  • From: JikaiRF at aol.com
  • Date: Sat, 25 Aug 2012 04:25:41 -0400 (EDT)
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>The other day, I contributed a document, but in that document I found mistakes, so I again contribute a document corrected, as follows:  

 Dear members;
>
>  I have been embarrassed about a function Plot.
>
> I would like to plot a curve defined as follows:
>
>
>
>  f(\[Alpha]_) := (\[Rho] + \[Delta] - \[Delta] \[Alpha] - Sqrt[\[Delta]\[Rho] \
>
> \[Alpha] (1 - \[Alpha]) + \[Rho]^2 \[Alpha]])/((\[Rho] + \[Delta]) (1 \
>
> - \[Alpha])).
>
> Here, 0 < \[Alpha] < 1, which is a variable. On the other hand, \[Rho] and  \[Delta]) are constant respectively. And I set \[Rho] =0.1;  \[Delta])=0.01.
>
> In this situation, I programmed in this way;
>
>
>  Plot[f[\[Alpha]], { \[Alpha],  0 < \[Alpha] < 1}]
>
>
>
> The curve I obtained from Mathematica is monotonously decreasing in relation to  \[Alpha].
AS a result, f(1) =0.
>
> However, based on a I'H^opital's rule,  f(1) = 1/2 is correct.
>
>I can not understand the curve, because it decrease to 0, when \[Alpha] increases to 1.  I would like to obtain an accurate curve.
>
>
>
>    Sincerely,
>
> Fujio Takata
>
> Kobe University, Japan.
>
> I use Mathematica 8.040, Macintosh version.




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