Wow, that's pretty neat.  I've never seen that before.  I made a quick-
and-dirty interact to show that:

var('z')
@interact
def exp_taylor(n = slider(range(1,20),default = 5)):
    f = exp(z)
    fn = f.taylor(z,0,n)
    html('Taylor polynomial of the exponential function to order
'+str(n))
    show(fn)
    show(complex_plot(fn/abs(fn),(-15,15),(-15,15), axes = False,
figsize = [5,5], plot_points = 200))

-Marshall

On Feb 27, 6:57 pm, Dan Drake <dr...@kaist.edu> wrote:
> On Sat, 27 Feb 2010 at 04:16PM -0800, mhampton wrote:
> > There are all sorts of nice possibilities with complex_plot.  As just
> > one example:
>
> Another idea: roots of the Taylor polynomials of the exponential
> function:http://www.mai.liu.se/~halun/complex/taylor/
>
> Dan
>
> --
> ---  Dan Drake
> -----  http://mathsci.kaist.ac.kr/~drake
> -------
>
>  signature.asc
> < 1KViewDownload

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