Recent content by kulix

Unfortunately, I used my approach on an exam, that's why I'm so keen on knowing if it's correct. Would have used the comparison, but alas, I didn't occur to me at the time.

Indeed I do, and yes I could do that. However, I'm interested in knowing if my approach is acceptable.

My bad again, what I meant to say is can you write it as a series of 1/n^p.

Perfect, thank you!

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?

Oh, mine wasn't complete, p needs to be different from 1. The better question; if n < n * sqrt(n^2-1) < n^2, does that mean there exists p such that n * sqrt (n^2 -1) = n^p ?

Ok, let me restate. Can all positive real numbers x be written as n^p, where n and p are real numbers? Or if n < n * sqrt(n^2-1) < n^2, does that mean there exists p such that n * sqrt (n^2 -1) = n^p ?

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?