Convergence Criteria
The product of positive real numbers with a finite amount of
converges if and only if the sum
converges. This allows the translation of convergence criteria for infinite sums into convergence criteria for infinite products.
For products in which each, written as, for instance, where, the bounds
show that the infinite product converges precisely if the infinite sum of the pn converges. This relies on the Monotone convergence theorem.
Read more about this topic: Infinite Product
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