The LimitPlot(f, pt) command displays an animation or plot that demonstrates the limiting behavior of the curve f as the indeterminate approaches the point pt.

The optional parameters opts specify the desired options for the resulting plot.  The available options are:

animation = true/false

Specifies whether to animate the plot. The default value is true.

functionoptions = list

Specifies the plot options for f.

pointoptions = list

Specifies the plot options for the successive approximation points. See also the following limitpointoptions option.

limitpointoptions = list

Specifies the plot options for the limit point. See also the preceding pointoptions option.

caption = anything

A caption for the plot.

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

For information on including additional plot option(s), see the plot help page.

For information on how to change the default colors, see the Student[SetColors] help page.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Precalculus}\right]\right)\:$

$\mathrm{LimitPlot}\left(x^2+2x+3\,x=2\right)$

$\mathrm{LimitPlot}\left(x^2\,x=1\,'\mathrm{view}'=\left[\mathrm{DEFAULT}\,-2..10\right]\,'\mathrm{limitpointoptions}'=\left['\mathrm{color}'=\mathrm{green}\right]\right)$

$\mathrm{piecewise}\left(x<0\&comma;x\&comma;x+1\right)$

$\left\{\begin{array}{cc}x& x<0\\ x+1& \mathrm{otherwise}\end{array}\right.$

$\mathrm{LimitPlot}\left(\&comma;x=0\&comma;\mathrm{animation}=\mathrm{false}\right)$