Definition:Supremum of Real Sequence

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

Let $\set {x_n: n \in \N}$ admit a supremum.

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

Also see

 * Definition:Infimum of Real Sequence