# Limit Command

From GeoGebra Manual

Revision as of 10:06, 6 August 2015 by Markus.winkler (talk | contribs)

- 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). - 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]`

- See also Asymptote Command, LimitAbove Command and LimitBelow Command.