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.
Analogy
Imagine you are driving on a road and suddenly there's a huge pothole that you can't cross. The pole in math is like that pothole, it's an obstacle that prevents the function from continuing smoothly.
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.
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