Definition:Bounded Above Sequence/Real/Unbounded

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This page is about Unbounded Above Real Sequence. For other uses, see Unbounded Above.

Definition

Let $\sequence {x_n}$ be a real sequence.


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

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