Definition:Bounded Sequence/Normed Vector Space/Unbounded
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This page is about Unbounded Sequence in the context of Normed Vector Space. For other uses, see Unbounded.
Definition
Let $\struct {X, \norm {\, \cdot \,} }$ be a normed vector space.
Let $\sequence {x_n}$ be a sequence in $R$.
$\sequence {x_n}$ is unbounded if and only if it is not bounded.
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