Difference between revisions of "Limit Command"
From GeoGebra Manual
(If you want the limit of a piecewise-defined function you need to use LimitAbove or LimitBelow for example <code><nowiki>LimitAbove[If[x>1, x^2, -2x], 1]) |
|||
Line 14: | Line 14: | ||
{{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]]. |
+ | * If you want the limit of a 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> | ||
+ | </div>}} |
Revision as of 10:52, 18 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.
- 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]