# Difference between revisions of "LimitBelow Command"

From GeoGebra Manual

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− | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}} | |

− | <noinclude>{{Manual Page|version= | + | ;LimitBelow( <Function>, <Value> ) |

− | {{command|function}} | + | :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. |

− | ;LimitBelow | + | :{{example|1=<code><nowiki>LimitBelow(1 / x, 0)</nowiki></code> yields <math>-\infty</math> .}} |

− | :{{ | + | :{{note| 1=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|1=<code><nowiki>LimitBelow(1 / x, 0)</nowiki></code> yields <math>-\infty</math> .}} | ||

+ | ;LimitBelow( <Expression>, <Variable>, <Value> ) | ||

+ | :Computes the left one-sided limit of the multivariate function for the given value of the given function variable. | ||

+ | :{{example|1=<code><nowiki>LimitBelow(1 / a, a, 0)</nowiki></code> yields <math>-\infty</math> .}} | ||

+ | :{{note| 1=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| 1=See also [[Limit Command]] and [[LimitAbove Command]].}} |

## Latest revision as of 09:35, 9 October 2017

- 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.