Definition: Bounded Sequence
A sequence $(x_n)_{n\in\mathbb N}$ of points of a metric space $(X,d)$ is called bounded, if the subset.
\[\{x_n:~n\in\mathbb N\}\subset X\]
is bounded.
Mentioned in:
Proofs: 1
Propositions: 2
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References
Bibliography
 Forster Otto: "Analysis 2, Differentialrechnung im \(\mathbb R^n\), Gewöhnliche Differentialgleichungen", Vieweg Studium, 1984