# Fungrim entry: 2be0b5

Symbol: MeromorphicLimit $\lim_{z \to a} f(z)$ Limiting value, allowing poles
This operator is equivalent to ComplexLimit except that whereas ComplexLimit in general is undefined when $a$ is a pole (because the direction of the resulting infinity depends on the direction of approach), MeromorphicLimit is taken to give UnsignedInfinity ( ${\tilde \infty}$ ) when $a$ is a pole.
Definitions:
Fungrim symbol Notation Short description
MeromorphicLimit$\lim_{z \to a} f(z)$ Limiting value, allowing poles
ComplexLimit$\lim_{z \to a} f(z)$ Limiting value, complex variable
UnsignedInfinity${\tilde \infty}$ Unsigned infinity
Source code for this entry:
Entry(ID("2be0b5"),
SymbolDefinition(MeromorphicLimit, MeromorphicLimit(f(z), For(z, a)), "Limiting value, allowing poles"),
Description("This operator is equivalent to", SourceForm(ComplexLimit), "except that whereas", SourceForm(ComplexLimit), "in general is undefined when", a, "is a pole (because the direction of the resulting infinity depends on the direction of approach),", SourceForm(MeromorphicLimit), "is taken to give", SourceForm(UnsignedInfinity), "(", UnsignedInfinity, ")", "when", a, "is a pole."))

## Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC