infinite product

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From an infinite sequence a1, a2, a3,…, an infinite product a1a2a3…can be formed and denoted byLet Pn be the n-th partial product, so that

If Pn tends to a limit P as n → ∞, then P is the value of the infinite product. For example,has the value ½, since it can be shown that Pn=(n+1)/2n and Pn → ½.

Subjects: Mathematics.

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