1. The problem statement, all variables and given/known data Let (s_n) and (t_n) be bounded sequences of nonnegative numbers. Prove that limsup(s_n*t_n) <= (limsup(s_n))*(limsup(t_n)). 2. Relevant equations 3. The attempt at a solution I know that (s_n) and (t_n) have convergent subsequences, but that's about it. Where could I go from here? Thanks!