BUILT-IN MATHEMATICA SYMBOL

# Limit

Limit[expr, x->x0]
finds the limiting value of expr when x approaches .

## Details and OptionsDetails and Options

• Limit[expr, x->x0, Direction->1] computes the limit as x approaches from smaller values. Limit[expr, x->x0, Direction->-1] computes the limit as x 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.
• Limit[expr, x->x0] uses the setting , which determines the direction from assumptions that have been given, using Direction->-1 as the default. For limit points at infinity, the direction is determined from the direction of the infinity.

## ExamplesExamplesopen allclose all

### Basic Examples (1)Basic Examples (1)

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