Difference between revisions of "Limit Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|cas=true|function}}
 
{{command|cas=true|function}}
;Limit[ <Function f>, <Value t> ]
+
;Limit[ <Function>, <Value> ]
 
:Computes the [[w:Limit_of_a_function|limit]] of the function ''f'' for the given value ''t'' of the main function variable.
 
:Computes the [[w:Limit_of_a_function|limit]] of the function ''f'' for the given value ''t'' of the main function variable.
 
:{{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 f>, <Value t> ]
+
;Limit[ <Expression>, <Value>]
 
:Computes the limit of the function ''f'' for the given value t of the main function variable.
 
:Computes the limit of the function ''f'' for the given value t 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 f>, <Variable v>, <Value t> ]
+
;Limit[ <Expression>, <Variable>, <Value> ]
 
:Computes the limit of the function ''f'' for the given value ''t'' of the given function variable ''v''.
 
:Computes the limit of the function ''f'' for the given value ''t'' of the given function variable ''v''.
 
:{{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 14:35, 15 March 2013



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