∞
Infinity Symbol (∞)
The lemniscate symbol (∞) denotes infinity, representing a value or concept that increases limitlessly without bounds.
Mathematical Concept & Usage
Limit and Boundaries
In calculus and analysis, infinity is used to state that a function grows without bound. It is not a real number that can be added or multiplied traditionally, but a limit concept (e.g. limits as $x$ approaches infinity).
Example Formula
The limit of the reciprocal function $1/x$ as $x$ approaches infinity:
\lim_{x \to \infty} \frac{1}{x} = 0