Pole

Definition

The pole of a function is a point where the function becomes undefined or approaches infinity. It is often represented as a vertical asymptote on a graph.

Related terms

Vertical Asymptote: A vertical line on a graph that represents the location of a pole.

Singularity:

A point where a mathematical object, such as a function or equation, becomes undefined or infinite.

Residue: In complex analysis, the residue at a pole is used to calculate certain integrals around that pole.