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Sequence

Last updated Nov 1, 2022

# Definition

A Function $f: \mathbb{N} \to X$ for some Set $X$. It is usually denoted ${x_n}{n=1}^{\infty} \subset X$ or $(x{n}) \subset X$, and if $n \in \mathbb{N}$ is known, we write $x_{n}$ as shorthand for $f(n)$.