Difference between revisions of "Limit Command"
From GeoGebra Manual
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{{command|cas=true|function}} | {{command|cas=true|function}} | ||
;Limit[ <Function>, <Value> ] | ;Limit[ <Function>, <Value> ] | ||
| − | :Computes the [[w:Limit_of_a_function|limit]] of the function | + | :Computes the [[w:Limit_of_a_function|limit]] of the function for the given value 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> yields ''1''.</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== | ||
;Limit[ <Expression>, <Value>] | ;Limit[ <Expression>, <Value>] | ||
| − | :Computes the limit of the | + | :Computes the limit of the expression for the given value of the main function variable. |
| − | :{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a'' .</div>}} | + | :{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a''.</div>}} |
;Limit[ <Expression>, <Variable>, <Value> ] | ;Limit[ <Expression>, <Variable>, <Value> ] | ||
| − | :Computes the limit of the | + | :Computes the limit of the expression for the given value of the given function variable. |
| − | :{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a'' .</div>}} | + | :{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a''.</div>}} |
{{note| 1=<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). | * 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>}} | * See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].</div>}} | ||
Revision as of 16:16, 6 June 2013
- Limit[ <Function>, <Value> ]
- Computes the limit of the function for the given value 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>, <Value>]
- Computes the limit of the expression for the given value of the main function variable.
- Example:
Limit[a sin(x) / x, 0]yields a.
- Limit[ <Expression>, <Variable>, <Value> ]
- Computes the limit of the expression for the given value of the given function variable.
- 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.
