Limit Command

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]