Difference between revisions of "LimitAbove Command"
From GeoGebra Manual
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{{command|cas=true|function}} | {{command|cas=true|function}} | ||
;LimitAbove[ <Function f>, <Value t> ] | ;LimitAbove[ <Function f>, <Value t> ] | ||
| − | : | + | :Computes the right [[w:Limit of a function#One-sided limits|one-sided limit]] of the function ''f'' for given value ''t'' of the main function variable. |
| − | {{note| Not all limits can be calculated by GeoGebra, so | + | :{{example|1=<div><code><nowiki>LimitAbove[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).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
;LimitAbove[ <Expression f>, <Value t> ] | ;LimitAbove[ <Expression f>, <Value t> ] | ||
:Computes the right one-sided limit of the function ''f'' for the given value ''t'' of the main function variable. | :Computes the right one-sided limit of the function ''f'' for the given value ''t'' of the main function variable. | ||
| − | :{{example|1=<div><code><nowiki>LimitAbove[1 / x, 0]</nowiki></code> | + | :{{example|1=<div><code><nowiki>LimitAbove[1 / x, 0]</nowiki></code> yields <math>\infty</math> .</div>}} |
;LimitAbove[ <Expression f>, <Variable v>, <Value t> ] | ;LimitAbove[ <Expression f>, <Variable v>, <Value t> ] | ||
:Computes the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given function variable ''v''. | :Computes the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given function variable ''v''. | ||
| − | :{{example|1=<div><code><nowiki>LimitAbove[1 / a, a, 0]</nowiki></code> | + | :{{example|1=<div><code><nowiki>LimitAbove[1 / a, a, 0]</nowiki></code> yields <math>\infty</math> .</div>}} |
| − | {{note| 1=<div>See also [[Limit Command]] and [[LimitBelow Command]].</div>}} | + | {{note| 1=<div> |
| + | * Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined). | ||
| + | * See also [[Limit Command]] and [[LimitBelow Command]].</div>}} | ||
Revision as of 13:08, 18 September 2012
- LimitAbove[ <Function f>, <Value t> ]
- Computes the right one-sided limit of the function f for given value t 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 f>, <Value t> ]
- Computes the right one-sided limit of the function f for the given value t of the main function variable.
- Example:
LimitAbove[1 / x, 0]yields \infty .
- LimitAbove[ <Expression f>, <Variable v>, <Value t> ]
- Computes the right one-sided limit of the multivariate function f for the given value t of the given function variable v.
- 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).
- See also Limit Command and LimitBelow Command.
