Difference between revisions of "LimitAbove Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
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{{command|cas=true|function}}
 
{{command|cas=true|function}}
;LimitAbove[ <Function>, <Value> ]
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;LimitAbove[ <Function f>, <Value t> ]
:Returns right [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for given value of variable.
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:Returns right [[w:Limit of a function#One-sided limits|one-sided limit]] of the function ''f'' for given value ''t'' of the main function variable.
 
==CAS Syntax==
 
==CAS Syntax==
 
;LimitAbove[ <Expression f>, <Value t> ]
 
;LimitAbove[ <Expression f>, <Value t> ]
:Computes the right one-sided limit of the function ''f'' for the given value ''t''.
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:Computes the right one-sided limit of the function ''f'' for the given value ''t'' of the main function variable.
 
:{{example|1=<div><code><nowiki>LimitAbove[1 / x, 0]</nowiki></code>  yields <math>\infty</math> .</div>}}
 
:{{example|1=<div><code><nowiki>LimitAbove[1 / x, 0]</nowiki></code>  yields <math>\infty</math> .</div>}}
 
;LimitAbove[ <Expression f>, <Variable v>, <Value t> ]
 
;LimitAbove[ <Expression f>, <Variable v>, <Value t> ]
:Computes the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given variable ''v''.
+
:Computes the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given function variable ''v''.
 
:{{example|1=<div><code><nowiki>LimitAbove[1 / a, a, 0]</nowiki></code>  yields  <math>\infty</math> .</div>}}
 
:{{example|1=<div><code><nowiki>LimitAbove[1 / a, a, 0]</nowiki></code>  yields  <math>\infty</math> .</div>}}
 
{{note| 1=<div>See also [[Limit Command]] and [[LimitBelow Command]].</div>}}
 
{{note| 1=<div>See also [[Limit Command]] and [[LimitBelow Command]].</div>}}

Revision as of 14:29, 21 October 2011



LimitAbove[ <Function f>, <Value t> ]
Returns right one-sided limit of the function f for given value t of the main function variable.

CAS Syntax

LimitAbove[ <Expression f>, <Value t> ]
Computes the right one-sided limit of the function f for the given value t of the main function variable.
Example:
LimitAbove[1 / x, 0] yields \infty .
LimitAbove[ <Expression f>, <Variable v>, <Value t> ]
Computes the right one-sided limit of the multivariate function f for the given value t of the given function variable v.
Example:
LimitAbove[1 / a, a, 0] yields \infty .
Note:
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