# convergence/divergence for an infinite product

Consider $\prod_{n=1}^{\infty}p_{n}$. We say that this infinite product converges iff the finite products $P_{m}=\prod_{n=1}^{m}p_{n}\longrightarrow P$ converge. Otherwise the infinite product is called divergent.

Title convergence/divergence for an infinite product ConvergencedivergenceForAnInfiniteProduct 2013-03-22 13:36:11 2013-03-22 13:36:11 aoh45 (5079) aoh45 (5079) 13 aoh45 (5079) Definition msc 30E20 AbsoluteConvergenceImpliesConvergenceForAnInfiniteProduct