# Difference between revisions of "Limit Command"

From GeoGebra Manual

(If you want the limit of a piecewise-defined function you need to use LimitAbove or LimitBelow for example <code><nowiki>LimitAbove[If[x>1, x^2, -2x], 1]) |
|||

Line 14: | Line 14: | ||

{{note| 1=<div> | {{note| 1=<div> | ||

* Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined). | * Not all limits can be calculated by GeoGebra, so ''?'' will be returned in those cases (as well as when the correct result is undefined). | ||

− | * See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].</div>}} | + | * See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]]. |

+ | * If you want the limit of a piecewise-defined function you need to use [[LimitAbove Command|LimitAbove]] or [[LimitBelow Command|LimitBelow]], for example <code><nowiki>LimitAbove[If[x>1, x^2, -2x], 1]</nowiki></code> | ||

+ | </div>}} |

## Revision as of 10:52, 18 June 2013

- Limit[ <Function>, <Value> ]
- Computes the limit of the function for the given value of the main function variable.
**Example:**`Limit[(x^2 + x) / x^2, +∞]`

yields*1*.

**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

- Limit[ <Expression>, <Value> ]
- Computes the limit of the expression for the given value of the main function variable.
**Example:**`Limit[a sin(x) / x, 0]`

yields*a*.

- Limit[ <Expression>, <Variable>, <Value> ]
- Computes the limit of the expression for the given value of the given function variable.
**Example:**`Limit[a sin(v) / v, v, 0]`

yields*a*.

**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). - See also Asymptote Command, LimitAbove Command and LimitBelow Command.
- If you want the limit of a piecewise-defined function you need to use LimitAbove or LimitBelow, for example
`LimitAbove[If[x>1, x^2, -2x], 1]`