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BUILT-IN MATHEMATICA SYMBOL

Direction

Direction
is an option for Limit that specifies the direction in which the limit is taken.

Direction takes variables to approach their limits by increasing from smaller values.

Direction takes variables to approach their limits by decreasing from larger values.

The default setting is Direction->Automatic, which determines the direction from assumptions that have been given, using Direction as the default. For limit points at infinity, the direction is determined from the direction of the infinity.

Direction->z specifies that limits should be taken in the direction corresponding to the complex number z.

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By default, the limit is taken from above:

With the default setting Direction->Automatic, Assumptions can affect the direction: