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Symbols · Operators and calculus

∞ Infinity

Say it: “infinity”

What it means

Infinity is not a number but a direction: a quantity that grows without bound. It appears as a limit of sums and integrals and in limits where a variable grows without end.

Read aloud in real formulas

Calculus

∑ₙ₌₁^∞ 1/n² = π²/6

Aethel says

the sum from n equals 1 to infinity of 1 over n squared equals pi squared over 6

an infinite series with a finite sum

Calculus

lim_{x→∞} 1/x = 0

Aethel says

the limit as x goes to infinity of 1 over x equals 0

1 over x shrinks to zero

Typing it

LaTeX
\infty
Unicode
U+221E

Formulas that use it

Questions

How do you say ∞ out loud?

It is usually read “infinity”.

What does ∞ mean in maths?

Infinity is not a number but a direction: a quantity that grows without bound. It appears as a limit of sums and integrals and in limits where a variable grows without end.

How do you type ∞?

In LaTeX, write \infty. Its Unicode code point is U+221E.

Related symbols

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