I need to find the inf(S) and sup(S)

I know that they are -1 and 1. I know how to show that both of these are upper bounds. For example in the case of the Supremum, I don't know how to show that v<1 there exists a x>v for some x in S.

Printable View

- Sep 10th 2008, 10:20 AMhockey777Supremum and Infimum
I need to find the inf(S) and sup(S)

I know that they are -1 and 1. I know how to show that both of these are upper bounds. For example in the case of the Supremum, I don't know how to show that v<1 there exists a x>v for some x in S. - Sep 10th 2008, 10:27 AMhockey777
Quick Thought, would I use density of rationals?

- Sep 10th 2008, 10:41 AMPlato
It is true that

Now and . - Sep 10th 2008, 10:49 AMhockey777
....