Difference between revisions of "Limit Command"

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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>
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* 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 18:11, 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:
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