Definition:Limit Superior

Definition
Let $\sequence {x_n}$ be a bounded sequence in $\R$.

Also known as
The limit superior is also known as the upper limit, or just limsup.

Also see

 * Equivalence of Definitions of Limit Superior


 * Definition:Limit Inferior


 * Definition:Limit Superior of Sequence of Sets for an extension of this concept into the field of set theory, which is important in measure theory.