EDB — 0FK

Exercises

1. [0FK](Proposed on 2022-12-13) If the series ${\sum }_{n=0}^{\infty }{a}_n$ and ${\sum }_{n=0}^{\infty }{b}_n$ converge absolutely, show that the series ${\sum }_{n=0}^{\infty }{c}_n$ converges absolutely and

   $${\sum }_{n=0}^{\infty }{c}_n={\sum }_{n=0}^{\infty }{a}_n{\sum }_{n=0}^{\infty }{b}_n.$$