Difference between revisions of "Limit Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} |
| − | {{command|cas=true|function}} | + | ;Limit( <Function>, <Value> ) |
| − | ;Limit | + | :Computes the [[w:Limit_of_a_function|limit]] of the function for the given value of the main function variable. (This may also yield infinity.) |
| − | :Computes the [[w:Limit_of_a_function|limit]] of the function | + | :{{example|1=<code><nowiki>Limit((x^2 + x) / x^2, +∞)</nowiki></code> yields ''1''.}} |
| − | :{{example|1= | ||
{{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 | + | ;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= | + | :{{example|1=<code><nowiki>Limit(a sin(x) / x, 0)</nowiki></code> yields ''a''.}} |
| − | ;Limit | + | ;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= | + | :{{example|1=<code><nowiki>Limit(a sin(v) / v, v, 0)</nowiki></code> yields ''a''.}} |
{{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>}} | + | * If you want the limit of a [[If Command|piecewise-defined function]] you need to use [[LimitAbove Command|LimitAbove]] or [[LimitBelow Command|LimitBelow]], for example <code><nowiki>LimitAbove(If(x>1, x^2, -2x), 1)</nowiki></code> |
| + | * See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]]. | ||
| + | </div>}} | ||
Latest revision as of 09:32, 9 October 2017
- Limit( <Function>, <Value> )
- Computes the limit of the function for the given value of the main function variable. (This may also yield infinity.)
- 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).
- If you want the limit of a piecewise-defined function you need to use LimitAbove or LimitBelow, for example
LimitAbove(If(x>1, x^2, -2x), 1) - See also Asymptote Command, LimitAbove Command and LimitBelow Command.
