Difference between revisions of "LimitBelow Command"
From GeoGebra Manual
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;LimitBelow( <Function>, <Value> ) | ;LimitBelow( <Function>, <Value> ) | ||
: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= | + | :{{example|1=<code><nowiki>LimitBelow(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== | ||
;LimitBelow( <Expression>, <Value> ) | ;LimitBelow( <Expression>, <Value> ) | ||
:Computes the left one-sided limit of the function for the given value of the main function variable. | :Computes the left one-sided limit of the function for the given value of the main function variable. | ||
− | :{{example|1= | + | :{{example|1=<code><nowiki>LimitBelow(1 / x, 0)</nowiki></code> yields <math>-\infty</math> .}} |
;LimitBelow( <Expression>, <Variable>, <Value> ) | ;LimitBelow( <Expression>, <Variable>, <Value> ) | ||
: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= | + | :{{example|1=<code><nowiki>LimitBelow(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 [[LimitAbove Command]].}} | {{note| 1=See also [[Limit Command]] and [[LimitAbove Command]].}} |
Latest revision as of 09:35, 9 October 2017
- 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.