Limit Command

Limit( <Function>, <Value> )

Computes the limit of the function for the given value of the main function variable. (This may also yield infinity.)

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.