sage: g = Graphics()
sage: var(‘x’)
sage: f(x) = cos(x)
sage: g = plot(f(x),(x, -3.5, 3.5), ymin=-.2,hue=((1/10)),alpha=(1),legend_label=”$cos$”)
sage: for i in range(13):
… p = plot(f.taylor(x, 0, (i+1)),(x, -3.5, 3.5),ymin=-1,hue=((i/10)),alpha=((i+3)/26))
… g = g + p
…
sage: g += text(‘$y=\cos(x)$’, (-.1, 1.1), color=’black’,rotation=0)
sage: g += text(‘The first 13 Taylor approximations’, (0, 1.5), fontsize=12, rgbcolor=(.2,.3,.4))
sage: g.show(dpi=200, axes=false,aspect_ratio=1,legend_loc=’lower center’)