Difference between revisions of "Limit Command"

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(link to If command)
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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>}}
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:{{example|1=<code><nowiki>Limit((x^2 + x) /  x^2, +∞)</nowiki></code> yields ''1''.}}
 
{{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> ]
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;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=<code><nowiki>Limit(a sin(x) / x, 0)</nowiki></code> yields ''a''.}}
;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=<code><nowiki>Limit(a sin(v) / v, v, 0)</nowiki></code> yields ''a''.}}
 
{{note| 1=<div>
 
{{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).
 
* Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined).
* If you want the limit of a [[If Command|piecewise-defined function]] you need to use [[LimitAbove Command|LimitAbove]] or [[LimitBelow Command|LimitBelow]], for example <code><nowiki>LimitAbove[If[x>1, x^2, -2x], 1]</nowiki></code>
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* If you want the limit of a [[If Command|piecewise-defined function]] you need to use [[LimitAbove Command|LimitAbove]] or [[LimitBelow Command|LimitBelow]], for example <code><nowiki>LimitAbove(If(x>1, x^2, -2x), 1)</nowiki></code>
 
* See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].
 
* See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].
 
</div>}}
 
</div>}}

Latest revision as of 09:32, 9 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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