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ComplexInfinity

Complex Infinity is an infinite number in the complex plane whose complex argument is unknown or undefined. (SymPy, MathWorld, WMA)

ComplexInfinity

represents an infinite complex quantity of undetermined direction.

ComplexInfinity can appear as the result of a computation such as dividing by zero:

• • 1 / 0

But it can be used as an explicit value in an expression:

• • 1 / ComplexInfinity

• • ComplexInfinity * Infinity

ComplexInfinity though is a special case of DirectedInfinity:

• • FullForm[ComplexInfinity]

  • $$\mathrm{DirectedInfinity}\left[\right]$$

See also DirectedInfinity.