Difference between revisions of "Limit Command"
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{{command|cas=true|function}} | {{command|cas=true|function}} | ||
;Limit[ <Function f>, <Value t> ] | ;Limit[ <Function f>, <Value t> ] | ||
| − | :Computes [[w:Limit_of_a_function|limit]] of function ''f'' for given value t of the main function variable. | + | :Computes the [[w:Limit_of_a_function|limit]] of the function ''f'' for the given value ''t'' of the main function variable. |
| − | + | :{{example|1=<div><code><nowiki>Limit[(x^2 + x) / x^2, +∞]</nowiki></code> yields ''1'' .</div>}} | |
| − | :{{example|1=<div><code><nowiki>Limit[(x^2+x)/ x^2, +∞]</nowiki></code> | + | {{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| Not all limits can be calculated by GeoGebra, so | ||
==CAS Syntax== | ==CAS Syntax== | ||
;Limit[ <Expression f>, <Value t> ] | ;Limit[ <Expression f>, <Value t> ] | ||
| − | :Computes limit of function ''f'' for given value t of the main function variable. | + | :Computes the limit of the function ''f'' for the given value t of the main function variable. |
| − | :{{example|1=<div><code><nowiki>Limit[a sin(x)/x, 0]</nowiki></code> | + | :{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a'' .</div>}} |
;Limit[ <Expression f>, <Variable v>, <Value t> ] | ;Limit[ <Expression f>, <Variable v>, <Value t> ] | ||
| − | :Computes limit of function ''f'' for given value t of the given function variable v. | + | :Computes the limit of the function ''f'' for the given value ''t'' of the given function variable ''v''. |
| − | :{{example|1=<div><code><nowiki>Limit[a sin(v)/v, v, 0]</nowiki></code> | + | :{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a'' .</div>}} |
| − | {{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}} | + | {{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 [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].</div>}} | ||
Revision as of 13:01, 18 September 2012
- Limit[ <Function f>, <Value t> ]
- Computes the limit of the function f for the given value t of the main function variable.
- Example:
Limit[(x^2 + x) / x^2, +∞]yields 1 .
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
- Limit[ <Expression f>, <Value t> ]
- Computes the limit of the function f for the given value t of the main function variable.
- Example:
Limit[a sin(x) / x, 0]yields a .
- Limit[ <Expression f>, <Variable v>, <Value t> ]
- Computes the limit of the function f for the given value t of the given function variable v.
- Example:
Limit[a sin(v) / v, v, 0]yields a .
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 Asymptote Command, LimitAbove Command and LimitBelow Command.
