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.
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 $\displaystyle 1- \frac{1}{2^{-n}+1}$ monotonic (plug in n=1 and n=2 to see)? What does it converge to?