Difference between revisions of "Limit Command"

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{{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 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>}}
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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).}}
{{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==
 
==CAS Syntax==
 
;Limit[ <Expression f>, <Value t> ]
 
;Limit[ <Expression f>, <Value t> ]
:Computes limit of function ''f'' for 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 f>, <Variable v>, <Value t> ]
:Computes limit of function ''f'' for 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>}}
{{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}}
+
{{note| 1=<div>
 +
* Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined).
 +
* See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].</div>}}

Revision as of 13:01, 18 September 2012



Limit[ <Function f>, <Value t> ]
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 f>, <Value t> ]
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 f>, <Variable v>, <Value t> ]
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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