Originally Posted by

**MichaelH** I'm trying to answer questions regarding infima and suprema but I am not sure on how to answer this question. It goes like this:

Let $\displaystyle A=${$\displaystyle \frac 12, \frac34, \frac 78, \cdots $}. Prove that A is unbounded and that sup(A)=1.

I have rewritten this as:

$\displaystyle A=${$\displaystyle 1-\frac 12, 1-\frac14, 1-\frac 18, \cdots $}

So that the n-th term is $\displaystyle 1-\frac{1}{2^n}$

I am not sure if I needed to find the n-th term but I am not sure what I can do with this question?

EDIT I have solved this question now so no need for an answer. Thanks.