... sequence¹

A sequence $H_n(e^{j\omega})$ is said to be a Cauchy sequence if for each $\epsilon >0$ there is an $N$ such that $\vert\vert\,H_n(e^{j\omega})-H_m(e^{j\omega})\,\vert\vert <\epsilon$ for all $n$ and $m$ larger than $N$.

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