Definition:Infimum of Real Sequence

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

Let $\set {x_n: n \in \N}$ admit an infimum.

Then the infimum of $\sequence {x_n}$) is defined as:
 * $\map \inf {\sequence {x_n} } = \map \inf {\set {x_n: n \in \N} }$

Also see

 * Definition:Supremum of Real Sequence