Re: animation question

• To: mathgroup at smc.vnet.net
• Subject: [mg71212] Re: animation question
• From: Helen Read <hpr at together.net>
• Date: Fri, 10 Nov 2006 06:38:24 -0500 (EST)
• References: <eiurmk\$ggr\$1@smc.vnet.net>

```dimitris wrote:
> Consider the simple animation
>
> fr[n_] := Show[Plot[(Sqrt[7*x^4 + 6*x + 5] - Sqrt[7*x^4 + 3*x +
> 3])*Sqrt[63*x^2 - 5*x + 20], {x, 0, n},
>     PlotRange -> {{0, 10}, {2, 6.5}}, Frame -> {True, True, False,
> False}], Graphics[{Red, Line[{{0, 4.5}, {10, 4.5}}]}]]
>
> Table[fr[n], {n, 1, 10, 0.1}];
> SelectionMove[EvaluationNotebook[], All, GeneratedCell];
> FrontEndTokenExecute["CellGroup"]
> FrontEndTokenExecute["OpenCloseGroup"]
>
> How is possible to hold the red line (which has the meaning of the
> limit as x->infinity; try
> Limit[(Sqrt[7*x^4 + 6*x + 5] - Sqrt[7*x^4 + 3*x + 3])*Sqrt[63*x^2 - 5*x
> + 20], x -> Infinity])
> fixed (i.e. not "animated")?

<<Graphics`

With Show, you are getting a frame with just the curve, then a frame
with the curve and line together, then a new frame with the curve alone,
then combined with the line, etc. DisplayTogether combines everything
without displaying intermediate plots.

--