You Can't Handle the Proof!
January 25, 2014 2:35 PM Subscribe
Working through Apostol's Calculus Volume I for personal development. Stuck on a proof. Can you help?
posted by bfranklin to Science & Nature (7 answers total) 3 users marked this as a favorite
Trying to prove that 2(sqrt(n+1) - sqrt(n)) < 1/sqrt(n) < 2(sqrt(n) - sqrt(n-1)), n >= 1. I can make a damn fine geometric argument for this, but I can't seem to analytically prove it from the field, order, and least-upper bound axioms. Hope me!