\begin{definition}[Definition:Bounded Above Sequence/Real/Unbounded]
Let $\sequence {x_n}$ be a real sequence.
$\sequence {x_n}$ is '''unbounded above''' {{iff}} there exists no $M$ in $\R$ such that:
:$\forall i \in \N: x_i \le M$
Category:Definitions/Boundedness
\end{definition}