# Difference between revisions of "LimitBelow Command"

From GeoGebra Manual

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: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. | ||

:{{example|1=<div><code><nowiki>LimitBelow[1 / x, 0]</nowiki></code> yields <math>-\infty</math> .</div>}} | :{{example|1=<div><code><nowiki>LimitBelow[1 / x, 0]</nowiki></code> yields <math>-\infty</math> .</div>}} | ||

− | {{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).}} | + | :{{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== | ==CAS Syntax== | ||

;LimitBelow[ <Expression>, <Value> ] | ;LimitBelow[ <Expression>, <Value> ] | ||

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

:{{example|1=<div><code><nowiki>LimitBelow[1 / a, a, 0]</nowiki></code> yields <math>-\infty</math> .</div>}} | :{{example|1=<div><code><nowiki>LimitBelow[1 / a, a, 0]</nowiki></code> yields <math>-\infty</math> .</div>}} | ||

− | {{note| 1= | + | :{{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]].}} | |

− |

## Revision as of 09:49, 26 March 2013

- 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.