Difference between revisions of "Limit Command"
From GeoGebra Manual
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* 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). | ||
− | * 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> | + | * 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]]. | * See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]]. | ||
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Revision as of 19:11, 10 October 2015
- 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.