DocumentationMathematicaBuilt-in FunctionsAlgebraic ComputationCalculus
Limit[expr, x->] finds the limiting value of expr when x approaches .
Example: Limit[Sin[x]/x, x->0] .
Limit[expr, x->, Direction -> 1] computes the limit as approaches from smaller values. Limit[expr, x->, Direction -> -1] computes the limit as approaches from larger values.
Limit returns Interval objects to represent ranges of possible values, for example at essential singularities.
Limit returns unevaluated when it encounters functions about which it has no specific information. Limit therefore by default makes no explicit assumptions about symbolic functions.
Assumptions can be specified as a setting for the option Assumptions.
See Section 1.5.11 and Section 3.6.9.
See also: Series, Residue.
Related package: NumericalMath`NLimit`.
New in Version 1; modified in 5.0.