Difference between revisions of "LimitBelow Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} |
− | {{command|cas=true|function}} | + | ;LimitBelow( <Function>, <Value> ) |
− | ;LimitBelow | + | :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 | + | :{{example|1=<code><nowiki>LimitBelow(1 / x, 0)</nowiki></code> yields <math>-\infty</math> .}} |
− | :{{example|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== | ||
− | ;LimitBelow | + | ;LimitBelow( <Expression>, <Value> ) |
− | :Computes the left one-sided limit of the function | + | :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 | + | ;LimitBelow( <Expression>, <Variable>, <Value> ) |
− | :Computes the left one-sided limit of the multivariate function | + | :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= | + | :{{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]].}} | |
− |
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.