Math Help - sequences and series

1. sequences and series

For the set S = {1- 1/((2^-n)+1)
Given n is a natural number, find maximum of S, supremum of S, mininmum of S, infirimum of S, where they exist or state if they do not exist.

2. Originally Posted by mamt6
For the set S = {1- 1/((2^-n)+1)
Given n is a natural number, find maximum of S, supremum of S, mininmum of S, infirimum of S, where they exist or state if they do not exist.
Is $1- \frac{1}{2^{-n}+1}$ monotonic (plug in n=1 and n=2 to see)? What does it converge to?