LimitPlot - Maple Help

Student[Precalculus]

 LimitPlot
 plot the limiting behavior of the values of a function as the indeterminate approaches a point

 Calling Sequence LimitPlot(f, pt, opts)

Parameters

 f - algebraic expression in at most one variable pt - constant or expression of the form name = constant where name is the indeterminate in f. The default is 0 opts - (optional) equation(s) of the form option = value where option is one of animation, functionoptions, pointoptions and limitpointoptions; specify output options

Description

 • 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.

Examples

To play the animations on this help page, right-click (Control-click, on Macintosh) the plot to display the context menu.  Select Animation > Play.

 > $\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Precalculus}\right]\right):$
 > $\mathrm{LimitPlot}\left({x}^{2}+2x+3,x=2\right)$
 > $\mathrm{LimitPlot}\left({x}^{2},x=1,'\mathrm{view}'=\left[\mathrm{DEFAULT},-2..10\right],'\mathrm{limitpointoptions}'=\left['\mathrm{color}'=\mathrm{green}\right]\right)$
 > $\mathrm{piecewise}\left(x<0,x,x+1\right)$
 $\left\{\begin{array}{cc}{x}& {x}{<}{0}\\ {x}{+}{1}& {\mathrm{otherwise}}\end{array}\right\$ (1)
 > $\mathrm{LimitPlot}\left(,x=0,\mathrm{animation}=\mathrm{false}\right)$