Difference between revisions of "LimitAbove Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
<noinclude>{{Manual Page|version=4.0}}<noinclude/>
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;LimitAbove( <Function>, <Value> )
{{command|function}}
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:Computes the right [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for the given value of the main function variable.
;LimitAbove[ <expression>, <variable>, <value> ]
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:{{example|1=<code><nowiki>LimitAbove(1 / x, 0)</nowiki></code> yields ''<math>\infty</math>'' .}}
:{{description}}
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:{{note|1=Not all limits can be calculated by GeoGebra, so ''undefined'' will be returned in those cases (as well as when the correct result is undefined).}}
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==CAS Syntax==
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;LimitAbove( <Expression>, <Value> )
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:Computes the right one-sided limit of the function for the given value of the main function variable.
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:{{example|1=<code><nowiki>LimitAbove(1 / x, 0)</nowiki></code> yields <math>\infty</math> .}}
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;LimitAbove( <Expression>, <Variable>, <Value> )
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:Computes the right one-sided limit of the multivariate function for the given value of the given function variable.
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:{{example|1=<code><nowiki>LimitAbove(1 / a, a, 0)</nowiki></code> yields <math>\infty</math> .}}
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:{{note| 1=Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined).}}
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{{note| 1=See also [[Limit Command]] and [[LimitBelow Command]].}}

Latest revision as of 08:33, 9 October 2017


LimitAbove( <Function>, <Value> )
Computes the right one-sided limit of the function for the given value of the main function variable.
Example: LimitAbove(1 / x, 0) yields \infty .
Note: Not all limits can be calculated by GeoGebra, so undefined will be returned in those cases (as well as when the correct result is undefined).

CAS Syntax

LimitAbove( <Expression>, <Value> )
Computes the right one-sided limit of the function for the given value of the main function variable.
Example: LimitAbove(1 / x, 0) yields \infty .
LimitAbove( <Expression>, <Variable>, <Value> )
Computes the right one-sided limit of the multivariate function for the given value of the given function variable.
Example: LimitAbove(1 / a, a, 0) yields \infty .
Note: Not all limits can be calculated by GeoGebra, so ? will be returned in those cases (as well as when the correct result is undefined).
Note: See also Limit Command and LimitBelow Command.
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