Definition:Bounded Sequence/Complex
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This page is about Bounded Complex Sequence. For other uses, see Bounded.
Definition
Let $\sequence {z_n}$ be a complex sequence.
Then $\sequence {z_n}$ is bounded if and only if:
- $\exists M \in \R$ such that $\forall i \in \N: \cmod {z_i} \le M$
where $\cmod {z_i}$ denotes the complex modulus of $z_i$.
Unbounded
$\sequence {z_n}$ is unbounded if and only if it is not bounded.