# 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.