Exercises
[0FM] Prerequisites:[217].Note:Known as: Mertensβ theorem..
If the series \(β_{n=0}^β a_ n\) converges absolutely and \(β_{n=0}^β b_ n\) converges, show that the series \(β_{n=0}^β c_ n\) converges and
\[ β_{n=0}^β c_ n =β_{n=0}^β a_ n β_{n=0}^β b_ n\quad . \]Solution 1