| − | of a [[sequence]] of numbers ''a''<sub>1</sub>, ''a''<sub>2</sub>, ''a''<sub>3</sub>, ... is defined to be the [[limit (mathematics)|limit]] of the partial products ''a''<sub>1</sub>''a''<sub>2</sub>...''a''<sub>''n''</sub> as ''n'' goes to infinity. The infinite product is said to ''[[convergence|converge]]'' when the limit exists and is not zero. Otherwise the product is said to ''diverge''. | + | of a [[sequence]] of numbers ''a''<sub>1</sub>, ''a''<sub>2</sub>, ''a''<sub>3</sub>, ... is defined to be the [[limit (mathematics)|limit]] of the partial products ''a''<sub>1</sub>''a''<sub>2</sub>...''a''<sub>''n''</sub> as ''n'' goes to infinity. The infinite product is said to ''[[convergence|converge]]'' when the limit exists and is not zero. Otherwise the product is said to [[diverge]]. |