Definition:Bounded Above Sequence/Real/Unbounded

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This page is about real sequences which are unbounded above. For other uses, see Definition:Unbounded Above.

Definition

Let $\left \langle {x_n} \right \rangle$ be a real sequence.


$\left \langle {x_n} \right \rangle$ is unbounded above if and only if there exists no $M$ in $\R$ such that:

$\forall i \in \N: x_i \le M$