Difference between revisions of "LimitBelow Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
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;LimitBelow[ <Function>, <Value> ]
 
;LimitBelow[ <Function>, <Value> ]
 
:Computes the left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for the given value of the main function variable.
 
:Computes the left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for the given value of the main function variable.

Revision as of 10:20, 6 August 2015


LimitBelow[ <Function>, <Value> ]
Computes the left one-sided limit of the function for the given value of the main function variable.
Example:
LimitBelow[1 / x, 0] yields -\infty .
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

LimitBelow[ <Expression>, <Value> ]
Computes the left one-sided limit of the function for the given value of the main function variable.
Example:
LimitBelow[1 / x, 0] yields -\infty .
LimitBelow[ <Expression>, <Variable>, <Value> ]
Computes the left one-sided limit of the multivariate function for the given value of the given function variable.
Example:
LimitBelow[1 / a, a, 0] yields -\infty .
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).
Note: See also Limit Command and LimitAbove Command.
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