\infty - LaTeX Symbol

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\infty

\infty

The symbol \infty represents the concept of infinity, which is used in mathematics to denote a quantity that is larger than any finite number. It is often used in calculus, set theory, and other mathematical contexts to describe unbounded limits or sizes.

Examples

x \to \infty lim f (x) = L

Limit of a function as x approaches infinity

\lim_{x \to \infty} f(x) = L

n = 1 \sum \infty \frac{1}{n ^{2}} = \frac{π ^{2}}{6}

Infinite series summation

\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}

\int_{0}^{\infty} e^{- x} d x = 1

Improper integral over an infinite interval

\int_{0}^{\infty} e^{-x} \, dx = 1