DOCUMENTATION CENTER SEARCH

Mathematica >

Built-in Mathematica Symbol

Tutorials »|See Also »

DirectedInfinity

DirectedInfinity[]
represents an infinite numerical quantity whose direction in the complex plane is unknown.

DirectedInfinity[z]
represents an infinite numerical quantity that is a positive real multiple of the complex number z.

MORE INFORMATION

You can think of DirectedInfinity[z] as representing a point in the complex plane reached by starting at the origin and going an infinite distance in the direction of the point z.

The following conversions are made:

	Infinity	DirectedInfinity[1]
	-Infinity	DirectedInfinity[-1]
	ComplexInfinity	DirectedInfinity[]

Certain arithmetic operations are performed on DirectedInfinity quantities.

In OutputForm, DirectedInfinity[z] is printed in terms of Infinity, and DirectedInfinity[] is printed as ComplexInfinity.

Basic Examples (3)

Use as an expansion point and direction:

Use as an integration limit:

Use as a limiting point:

Applications (2)

Properties & Relations (3)

Possible Issues (3)

Indeterminate ComplexInfinity

Indeterminate and Infinite Results

MathWorld

The Wolfram Functions Site

New in 1

© 2008 Wolfram Research, Inc.

Ask a question about this page | Suggest an improvement | Leave a message for the team