OpenMath Content Dictionary: limit1

Canonical URL:
http://www.openmath.org/cd/limit1.ocd
CD Base:
http://www.openmath.org/cd
CD File:
limit1.ocd
CD as XML Encoded OpenMath:
limit1.omcd
Defines:
above, below, both_sides, limit, null
Date:
2004-03-30
Version:
3 (Revision 1)
Review Date:
2006-03-30
Status:
official


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  Author: OpenMath Consortium
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This CD holds the basic notion of the limits of unary functions whilst its variable tend (either from above, below or both sides) to a particular value.


limit

Role:
application
Description:

This symbol is used to denote the limit of a unary function. It takes 3 arguments: the limiting value of the argument, the method of approach (either null, above, below or both_sides) and the function.

Example:
The limit of sin(x) as x tends to 0
limit x 0 sin ( x )
Signatures:
sts


[Next: both_sides] [Last: null] [Top]

both_sides

Role:
constant
Description:

This symbol is used within a limit construct to show the limit is being approached from both sides. It takes no arguments.

Example:
The limit of sin(x) as x tends to 0 from either direction
limit x 0 sin ( x )
Signatures:
sts


[Next: above] [Previous: limit] [Top]

above

Role:
constant
Description:

This symbol is used within a limit construct to show the limit is being approached from above. It takes no arguments.

Example:
The limit of sin(x) as x tends to 0 from above
limit x 0 + sin ( x )
Signatures:
sts


[Next: below] [Previous: both_sides] [Top]

below

Role:
constant
Description:

This symbol is used within a limit construct to show the limit is being approached from below. It takes no arguments.

Example:
The limit of sin(x) as x tends to 0 from below
limit x 0 - sin ( x )
Signatures:
sts


[Next: null] [Previous: above] [Top]

null

Role:
constant
Description:

This symbol is used within a limit construct to avoid specifying the method of approach to the limit. It takes no arguments.

Example:
The limit of sin(x) as x tends to 0
limit x 0 sin ( x )
Signatures:
sts


[First: limit] [Previous: below] [Top]