EDB — 0FJ

Exercises

1. [0FJ]If \(\forall n\in {\mathbb {N}}, a_ n,b_ n≥ 0\) show that

   \[ ∑_{n=0}^∞ c_ n =∑_{n=0}^∞ a_ n ∑_{n=0}^∞ b_ n \]

   with the convention that \(0⋅ ∞=0\).