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Ambiguity of "Plot"
*To*: mathgroup at smc.vnet.net
*Subject*: [mg127800] Ambiguity of "Plot"
*From*: JikaiRF at aol.com
*Date*: Thu, 23 Aug 2012 02:54:23 -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
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.
And I programmed in this way;
Plot[f(\[Alpha]), { \[Alpha], 0 < \[Alpha] < 1}]
The curve I obtained from Mathematica is monotonously decreasing. AS a result, f(1) =0.
However, by using l'H=F4pital7 theorem, f(1) = 1/2 is correct.
In this situation, 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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