# simultaneous converging or diverging of product and sum theorem

Let $a_{k}\geq 0$. Then

 $\prod_{n=1}^{\infty}(1+a_{n})\text{and}\sum_{n=1}^{\infty}a_{n}$

converge or diverge simultaneously.

Title simultaneous converging or diverging of product and sum theorem SimultaneousConvergingOrDivergingOfProductAndSumTheorem 2013-03-22 13:35:55 2013-03-22 13:35:55 Johan (1032) Johan (1032) 6 Johan (1032) Theorem msc 30E20