Difference between revisions of "Limit Command"

From GeoGebra Manual
Jump to: navigation, search
m (Bot: Automated text replacement (-{{command +{{command|cas=true))
Line 2: Line 2:
 
{{command|cas=true|function}}
 
{{command|cas=true|function}}
 
;Limit[ <Function f>, <Value t> ]
 
;Limit[ <Function f>, <Value t> ]
:Computes [[w:Limit_of_a_function|limit]] of function ''f'' for given value of function variable (may be infinity).
+
:Computes [[w:Limit_of_a_function|limit]] of function ''f'' for given value t of the main function variable.
 +
{{note| The limit might be infinity.}}
 
==CAS Syntax==
 
==CAS Syntax==
 
;Limit[ <Expression f>, <Value t> ]
 
;Limit[ <Expression f>, <Value t> ]
:Computes the limit of function ''f'' for ''x = t''.
+
:Computes limit of function ''f'' for 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 f>, <Variable v>, <Value t> ]
:Computes limit of multivariate function ''f'' for ''v = t''.
+
:Computes limit of function ''f'' for 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>}}
 
{{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}}
 
{{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}}

Revision as of 14:26, 21 October 2011



Limit[ <Function f>, <Value t> ]
Computes limit of function f for given value t of the main function variable.
Note: The limit might be infinity.

CAS Syntax

Limit[ <Expression f>, <Value t> ]
Computes limit of function f for given value t of the main function variable.
Example:
Limit[a sin(x)/x, 0] yields a .
Limit[ <Expression f>, <Variable v>, <Value t> ]
Computes limit of function f for given value t of the given function variable v.
Example:
Limit[a sin(v)/v, v, 0] yields a .
© 2021 International GeoGebra Institute