Difference between revisions of "Limit Command"

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(link to If command)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
;Limit[ <Function>, <Value> ]
+
;Limit( <Function>, <Value> )
 
:Computes the [[w:Limit_of_a_function|limit]] of the function for the given value of the main function variable. (This may also yield infinity.)
 
:Computes the [[w:Limit_of_a_function|limit]] of the function for the given value of the main function variable. (This may also yield infinity.)
 
:{{example|1=<div><code><nowiki>Limit[(x^2 + x) /  x^2, +∞]</nowiki></code> yields ''1''.</div>}}
 
:{{example|1=<div><code><nowiki>Limit[(x^2 + x) /  x^2, +∞]</nowiki></code> yields ''1''.</div>}}
 
{{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).}}
 
{{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).}}
 
==CAS Syntax==
 
==CAS Syntax==
;Limit[ <Expression>, <Value> ]
+
;Limit( <Expression>, <Value> )
 
:Computes the limit of the expression for the given value of the main function variable.
 
:Computes the limit of the expression for the given value of the main function variable.
 
:{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a''.</div>}}
 
:{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a''.</div>}}
;Limit[ <Expression>, <Variable>, <Value> ]
+
;Limit( <Expression>, <Variable>, <Value> )
 
:Computes the limit of the expression for the given value of the given function variable.
 
:Computes the limit of the expression for the given value of the given function variable.
 
:{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a''.</div>}}
 
:{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a''.</div>}}

Revision as of 17:15, 7 October 2017


Limit( <Function>, <Value> )
Computes the limit of the function for the given value of the main function variable. (This may also yield infinity.)
Example:
Limit[(x^2 + x) / x^2, +∞] yields 1.
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

Limit( <Expression>, <Value> )
Computes the limit of the expression for the given value of the main function variable.
Example:
Limit[a sin(x) / x, 0] yields a.
Limit( <Expression>, <Variable>, <Value> )
Computes the limit of the expression for the given value of the given function variable.
Example:
Limit[a sin(v) / v, v, 0] yields a.
Note:
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