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New page: An '''infinite product''' :<math> \prod_{n=1}^{\infty} a_n = a_1 \; a_2 \; a_3 \cdots </math> of a sequence of numbers ''a''<sub>1</sub>, ''a''<sub>2</sub>, ''a''<sub>3</sub>, ... i...
An '''infinite product'''
:<math>
\prod_{n=1}^{\infty} a_n = a_1 \; a_2 \; a_3 \cdots
</math>
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''.
[[category:mathematics]]
:<math>
\prod_{n=1}^{\infty} a_n = a_1 \; a_2 \; a_3 \cdots
</math>
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''.
[[category:mathematics]]