simultaneous converging or diverging of product and sum theorem

Let $a_k\ge 0$. Then

$$\prod _{n=1}^{\mathrm{\infty }}(1+a_n)\text{and}\sum _{n=1}^{\mathrm{\infty }}{a}_n$$

converge or diverge simultaneously.

Title	simultaneous converging or diverging of product and sum theorem
Canonical name	SimultaneousConvergingOrDivergingOfProductAndSumTheorem
Date of creation	2013-03-22 13:35:55
Last modified on	2013-03-22 13:35:55
Owner	Johan (1032)
Last modified by	Johan (1032)
Numerical id	6
Author	Johan (1032)
Entry type	Theorem
Classification	msc 30E20