Difference between revisions of "LimitAbove Command"
From GeoGebra Manual
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
(command syntax: changed [ ] into ( )) |
||
| Line 2: | Line 2: | ||
;LimitAbove( <Function>, <Value> ) | ;LimitAbove( <Function>, <Value> ) | ||
:Computes the right [[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 right [[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= | + | :{{example|1=<code><nowiki>LimitAbove(1 / x, 0)</nowiki></code> yields ''<math>\infty</math>'' .}} |
:{{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== | ||
;LimitAbove( <Expression>, <Value> ) | ;LimitAbove( <Expression>, <Value> ) | ||
:Computes the right one-sided limit of the function for the given value of the main function variable. | :Computes the right one-sided limit of the function for the given value of the main function variable. | ||
| − | :{{example|1= | + | :{{example|1=<code><nowiki>LimitAbove(1 / x, 0)</nowiki></code> yields <math>\infty</math> .}} |
;LimitAbove( <Expression>, <Variable>, <Value> ) | ;LimitAbove( <Expression>, <Variable>, <Value> ) | ||
:Computes the right one-sided limit of the multivariate function for the given value of the given function variable. | :Computes the right one-sided limit of the multivariate function for the given value of the given function variable. | ||
| − | :{{example|1= | + | :{{example|1=<code><nowiki>LimitAbove(1 / a, a, 0)</nowiki></code> yields <math>\infty</math> .}} |
:{{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).}} | :{{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).}} | ||
{{note| 1=See also [[Limit Command]] and [[LimitBelow Command]].}} | {{note| 1=See also [[Limit Command]] and [[LimitBelow Command]].}} | ||
Latest revision as of 09:33, 9 October 2017
- LimitAbove( <Function>, <Value> )
- Computes the right one-sided limit of the function for the given value of the main function variable.
- Example:
LimitAbove(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
- LimitAbove( <Expression>, <Value> )
- Computes the right one-sided limit of the function for the given value of the main function variable.
- Example:
LimitAbove(1 / x, 0)yields \infty .
- LimitAbove( <Expression>, <Variable>, <Value> )
- Computes the right one-sided limit of the multivariate function for the given value of the given function variable.
- Example:
LimitAbove(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 LimitBelow Command.
