Difference between revisions of "LimitAbove Command"
From GeoGebra Manual
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==CAS Syntax== | ==CAS Syntax== | ||
;LimitAbove[ <Expression f>, <Value t> ] | ;LimitAbove[ <Expression f>, <Value t> ] | ||
| − | :Computes the limit of function ''f'' for '' | + | :Computes the right one-sided limit of the function ''f'' for the given value ''t''. |
:{{example|1=<div><code><nowiki>LimitAbove[1 / x, 0]</nowiki></code> yields <math>\infty</math> .</div>}} | :{{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 limit of multivariate function ''f'' for ''v | + | :Computes the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given variable ''v''. |
:{{example|1=<div><code><nowiki>LimitAbove[1 / a, a, 0]</nowiki></code> yields <math>\infty</math> .</div>}} | :{{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>See also [[Limit Command]] and [[LimitBelow Command]].</div>}} | ||
Revision as of 13:10, 18 August 2011
- LimitAbove[ <Function>, <Value> ]
- Returns right one-sided limit of the function for given value of variable.
CAS Syntax
- LimitAbove[ <Expression f>, <Value t> ]
- Computes the right one-sided limit of the function f for the given value t.
- 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 variable v.
- Example:
LimitAbove[1 / a, a, 0]yields \infty .
Note:
See also Limit Command and LimitBelow Command.
