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Limit

FilledSmallSquare Limit[expr, x->] finds the limiting value of expr when x approaches .

FilledSmallSquare Example: Limit[Sin[x]/x, x->0] LongRightArrow.

FilledSmallSquare 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.

FilledSmallSquare Limit returns Interval objects to represent ranges of possible values, for example at essential singularities.

FilledSmallSquare 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.

FilledSmallSquare Assumptions can be specified as a setting for the option Assumptions.

FilledSmallSquare See Section 1.5.11 and Section 3.6.9.

FilledSmallSquare See also: Series, Residue.

FilledSmallSquare Related package: NumericalMath`NLimit`.

FilledSmallSquare New in Version 1; modified in 5.0.

Further Examples