Question

Let S be a set that is bounded below. Prove that a lower bound w of S is the infimum of S if and only if for epsilon>0 there exists t in S such that t 14 years ago

Answer 1

you have to proof two things
1. if w (lower bound of S) is the infimum of S, then for epsilon>0 there exists t in S such that t<w+epsilon


2. If for epsilon>0 there exists t in S such that t<w+epsilon, then w is infimum of S

Answer 2

yes. I can't go any further after establishing that... you are the first person to reply to this question. thanks already