Difference between revisions of "LimitBelow Command"
From GeoGebra Manual
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;LimitBelow[ <Function f>, <Value t> ] | ;LimitBelow[ <Function f>, <Value t> ] | ||
:Returns left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function ''f'' for given value ''t'' of the main function variable. | :Returns left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function ''f'' for given value ''t'' of the main function variable. | ||
+ | {{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== | ==CAS Syntax== | ||
;LimitBelow[ <Expression f>, <Value t> ] | ;LimitBelow[ <Expression f>, <Value t> ] |
Revision as of 15:06, 18 December 2011
- LimitBelow[ <Function f>, <Value t> ]
- Returns left one-sided limit of the function f for given value t of the main function variable.
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 f>, <Value t> ]
- Computes the left one-sided limit of the function f for the given value t of the main function variable.
- Example:
LimitBelow[1 / x, 0]
yields -\infty .
- LimitBelow[ <Expression f>, <Variable v>, <Value t> ]
- Computes the left one-sided limit of the multivariate function f for the given value t of the given function variable v.
- Example:
LimitBelow[1 / a, a, 0]
yields -\infty .
Note:
See also Limit Command and LimitAbove Command.