Date: Aug 18, 2013 3:25 PM Author: quasi Subject: Re: analysis question on periodic functions Followup question:

Does there exist an element a in R and a function f:R -> R,

where f is odd, continuous, and periodic with period 1, such

that, letting S_k = f(a) + f(2*a) + ... + f(k*a), the sequence

S_1,S_2,S_3, ... is unbounded?

quasi