Difference between revisions of "Limit Command"
From GeoGebra Manual
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact ) |
Kimeswenger (talk | contribs) |
||
| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|cas=true|function}} | {{command|cas=true|function}} | ||
| − | ;Limit[ <Function | + | ;Limit[ <Function>, <Value> ] |
:Computes the [[w:Limit_of_a_function|limit]] of the function ''f'' for the 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> 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 | + | ;Limit[ <Expression>, <Value>] |
:Computes the limit of the function ''f'' for the 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> yields ''a'' .</div>}} | :{{example|1=<div><code><nowiki>Limit[a sin(x) / x, 0]</nowiki></code> yields ''a'' .</div>}} | ||
| − | ;Limit[ <Expression | + | ;Limit[ <Expression>, <Variable>, <Value> ] |
:Computes the limit of the function ''f'' for the 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> yields ''a'' .</div>}} | :{{example|1=<div><code><nowiki>Limit[a sin(v) / v, v, 0]</nowiki></code> yields ''a'' .</div>}} | ||
Revision as of 14:35, 15 March 2013
- Limit[ <Function>, <Value> ]
- 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>, <Value>]
- 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>, <Variable>, <Value> ]
- 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.
