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.