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.

**Follow-Ups**:**Re: Ambiguity of "Plot"***From:*Murray Eisenberg <murray@math.umass.edu>

**Re: Ambiguity of "Plot"***From:*Bob Hanlon <hanlonr357@gmail.com>