Definition:Bounded Below Sequence/Unbounded
< Definition:Bounded Below Sequence(Redirected from Definition:Unbounded Below Sequence)
Jump to navigation
Jump to search
This page is about Unbounded Below Sequence. For other uses, see Unbounded Below.
Definition
Let $\struct {T, \preceq}$ be an ordered set.
Let $\sequence {x_n}$ be a sequence in $T$.
$\sequence {x_n}$ is unbounded below if and only if there exists no $m$ in $T$ such that:
- $\forall i \in \N: m \preceq x_i$