(Problem written verbatim)
Let A = [0,1] - {$\frac1n$|n $\in$ $\mathbb{N}$}. Find supremum, infimum, maximum, and minimum of A. Justify your answers.
I'm not really sure where to start. I tried about 4 different ways of doing this and I think the best idea is to have subset K = {k $\in$ $\mathbb{R}$ | 0 $\le$ k $\le$ 1} and L = {$\frac1n$|n $\in$ $\mathbb{N}$} and show that, for example, min(A) = min(K) - max(L) = -1
I'm also supposing that I have to treat L as a limit, correct?