Main Question or Discussion Point
Just a quick question for you guys, I've been unable to find the answer to this. Can all real numbers be written as n^p, where p is a real number?
This question makes no sense. In the series S, your variable n is the dummy variable and thus ranges over all positive integers. In your last sentence, n has become a fixed number.Oh dear. Let me try this:
let S be a series from 2 to infinity of 1 / (n*sqrt(n^2 -1)).
Can you write S as 1/n^p?