I need help with this problem:
Suppose that $f_n$ are continous non-negative fucntions bounded on A and let $M_n=\sup f_n$. If $\sum_{n=1}^\infty f_n$ converges uniformly on A, it follows that $\sum_{n=1}^\infty M_n$ converges? (a reciprocal of the Weierstrass $M$ test
I don't know how to solve this problem. Can you give me some help please?