Originally Posted by

**lovesmath** If possible find the supremum and infimum of the following sets.

a) (0, infinity)

b) {1/n: n is an element of the natural numbers}

c) rational numbers AND [sqrt(2), sqrt(3)]

d) {x is an element of the real numbers: x+2>x^2}

e) {1/n-1/m: n,m are elements of the natural numbers}

My answers so far:

a) supremum: none; infimum: 0

b) supremum: none; infimum: 1

c) supremum: none; infimum: none

d) supremum: none; infimum: 0

e) supremum: none; infimum: 0

I haven't had much practice with these, and I would appreciate any feedback!