Solution
= Solution
The open <unit disk> is <bounded> but not <closed>: $(1-1/n,0)$ lies in it for $n\geq2$ and converges to the omitted point $(1,0)$. By the <Heine-Borel theorem>, \b[it is not <compact>].
= Solution
The open <unit disk> is <bounded> but not <closed>: $(1-1/n,0)$ lies in it for $n\geq2$ and converges to the omitted point $(1,0)$. By the <Heine-Borel theorem>, \b[it is not <compact>].