Direction

Direction

is an option for Limit and related functions that specifies the direction in which the limit is taken.

Details

  • Possible settings for Direction include:
  • Reals or "TwoSided"from both real directions
    "FromAbove" or -1from above or larger values
    "FromBelow" or +1from below or smaller values
    Complexesfrom all complex directions
    Exp[ θ]in the direction
    {dir1,,dirn}use direction diri for variable xi independently
  • DirectionExp[ θ] at x* indicates the direction tangent of a curve approaching the limit point x*.

Examples

open allclose all

Basic Examples  (1)

Limit from below:

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Limit from above:

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The two-sided limit does not exist:

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Scope  (5)

Properties & Relations  (4)

See Also

Assumptions  Limit  MaxLimit  MinLimit

Introduced in 1991
(2.0)
| Updated in 2017
(11.2)