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.
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.
It is true that $\displaystyle \left( {\varepsilon > 0} \right)\left[ {\exists K \mathrel\backepsilon \quad \frac{1}{K} < \varepsilon } \right]$
Now $\displaystyle n = 1 \Rightarrow \quad \frac{1}{1} - \frac{1}{K} > 1 - \varepsilon $ and $\displaystyle m = 1 \Rightarrow \quad \frac{1}{K} - \frac{1}{1} < - 1 + \varepsilon $.