       Re: Manipulate Series Expansions

• To: mathgroup at smc.vnet.net
• Subject: [mg112998] Re: Manipulate Series Expansions
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Sun, 10 Oct 2010 06:42:16 -0400 (EDT)

```Use Evaluate (see the More Information section in the help for Plot).

Manipulate[Plot[
Evaluate[{Normal[Series[Sin[x], {x, 0, n}]], Sin[x]}],
{x, -10 Pi, 10 Pi},
PlotRange -> 2],
{n, 1, 100, 1, Appearance -> "Labeled"}]

Bob Hanlon

---- Daniel <bridges2 at gmail.com> wrote:

=============
I'm new to Mathemtica and have been searching the net for a while
regarding using Manipulate to compare a series expansion to the
original function, but haven't found an adequate solution to my
errors.

Why doesn't this work:

Manipulate[
Plot[{Normal[Series[Sin[x], {x, 0, n}]], Sin[x]}, {x, -10 Pi,
10 Pi}, PlotRange -> 2], {n, 1, 100, 1}]

I can do this to make it work as intended:

p[x_, n_] := Normal[Series[Sin[y], {y, 0, n}]] /. y -> x
Manipulate[
Plot[{p[x, n], Sin[x]}, {x, -10 Pi, 10 Pi}, PlotRange -> 2], {n, 1,
100, 1}]