plot the limiting behavior of the values of a function as the indeterminate approaches a point - Maple Help

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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)




algebraic expression in at most one variable



constant or expression of the form name = constant where name is the indeterminate in f. The default is 0



(optional) equation(s) of the form option = value where option is one of animation, functionoptions, pointoptions and limitpointoptions; specify output options



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.


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








See Also

plot/typesetting, Student, Student[Precalculus], Student[Precalculus][LimitTutor], Student[Precalculus][VisualizationOverview]

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