Difference between revisions of "LimitAbove Command"
From GeoGebra Manual
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− | ;LimitAbove[ <Function>, <Value> ] | + | ;LimitAbove[ <Function f>, <Value t> ] |
− | :Returns right [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for given value of variable. | + | :Returns 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. |
==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''. | + | :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> 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 the right one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given 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> 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 13:29, 21 October 2011
- LimitAbove[ <Function f>, <Value t> ]
- Returns right one-sided limit of the function f for given value t of the main function variable.
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:
See also Limit Command and LimitBelow Command.