Question

Analysis!

2. For each set A below find sup A and max A. If either does not exist, simply write "DNE" for that value. You do not need to prove your answers are correct (a) A =1-1.3] (b) A=(-00,π) (e) A = {n + (-1)" : n N}

Answer 1

For each let A below, find sup A & max A. (a) A = [- 1, 3]. Sup A = 3, max A = 3. (b) A = (- infinity, pi) sup A = pi, max A = (DNE) does not exist. (c) A = {x elementof Q: x^2 < 7} sup A = 7, max A = DNE. (d) A = {n/n + 1: n elementof N} As, n + 1 > n forall n elementof N so, n/n + 1 < 1 forall n elementof N so, sup A = 1. And since, 1 notelementof A so, max A = DNE