1. The problem statement, all variables and given/known data Define the cesaro mean as σ=(1/n)(x1 +...+xn) Can it happen that xn >0 for all n, and limsup xn =∞, but limσ=0 2. Relevant equations 3. The attempt at a solution I think I am supposed to construct a piecewise sequence, with ln(n), but I can't figure this out or the life of me. The professor says there is a sequence that will work.