Difference between revisions of "LimitBelow Command"
From GeoGebra Manual
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: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> ] | ||
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: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= | + | :{{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]].}} | |
| − | |||
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.
