I need to show minimum, maximum, infimum and supremum, if they exist.
$ C:= \bigcup_{n \in \mathbb{N}} [0,1/n[.$
The Archimedean property says: let $e$, $x$ be real numbers, if $e>0$ and $x>0$ then there exists $n\in \mathbb{N}$ such that $ne>x$.
I cannot start anything with what i know form these statements, how can I show whether the statement above has a min, or max, inf or sup?