Compactness
Definition
A set $K \subseteq \mathbb{R}$ is compact if every sequence in $K$ has a subsequence that converges to a limit that is also in $K$. (Understanding_Analysis – Abbott)
A set $K \subseteq \mathbb{R}$ is compact if every sequence in $K$ has a subsequence that converges to a limit that is also in $K$. (Understanding_Analysis – Abbott)