Difference between revisions of "LimitBelow Command"

From GeoGebra Manual
Jump to: navigation, search
Line 4: Line 4:
 
:Computes the left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for the given value of the main function variable.
 
:Computes the left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for the given value of the main function variable.
 
:{{example|1=<div><code><nowiki>LimitBelow[1 / x, 0]</nowiki></code> yields <math>-\infty</math> .</div>}}
 
:{{example|1=<div><code><nowiki>LimitBelow[1 / x, 0]</nowiki></code> yields <math>-\infty</math> .</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==
 
;LimitBelow[ <Expression>, <Value> ]
 
;LimitBelow[ <Expression>, <Value> ]
Line 12: Line 12:
 
:Computes the left one-sided limit of the multivariate function for the given value of the given function variable.
 
:Computes the left one-sided limit of the multivariate function for the given value of the given function variable.
 
:{{example|1=<div><code><nowiki>LimitBelow[1 / a, a, 0]</nowiki></code>  yields  <math>-\infty</math> .</div>}}
 
:{{example|1=<div><code><nowiki>LimitBelow[1 / a, a, 0]</nowiki></code>  yields  <math>-\infty</math> .</div>}}
{{note| 1=<div>
+
:{{note| 1=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).
+
{{note| 1=See also [[Limit Command]] and [[LimitAbove Command]].}}
* See also [[Limit Command]] and [[LimitAbove Command]].</div>}}
 

Revision as of 09:49, 26 March 2013



LimitBelow[ <Function>, <Value> ]
Computes the left one-sided limit of the function for the given value of the main function variable.
Example:
LimitBelow[1 / x, 0] yields -\infty .
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

LimitBelow[ <Expression>, <Value> ]
Computes the left one-sided limit of the function for the given value of the main function variable.
Example:
LimitBelow[1 / x, 0] yields -\infty .
LimitBelow[ <Expression>, <Variable>, <Value> ]
Computes the left one-sided limit of the multivariate function for the given value of the given function variable.
Example:
LimitBelow[1 / a, a, 0] yields -\infty .
Note: Not all limits can be calculated by GeoGebra, so ? will be returned in those cases (as well as when the correct result is undefined).
Note: See also Limit Command and LimitAbove Command.
© 2021 International GeoGebra Institute