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)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- Delivered-to: l-mathgroup@wolfram.com
- Delivered-to: mathgroup-newout@smc.vnet.net
- Delivered-to: mathgroup-newsend@smc.vnet.net
- References: <k14k1b$7g6$1@smc.vnet.net>
>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.