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)

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.

withStudent[Precalculus]:

LimitPlotx2+2x+3,x=2

LimitPlotx2,x=1,'view'=DEFAULT,2..10,'limitpointoptions'='color'=green

piecewisex<0&comma;x&comma;x&plus;1

&lcub;xx<0x&plus;1otherwise

(1)

LimitPlot&comma;x&equals;0&comma;animation&equals;false

See Also

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


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