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Infinite Product

  • Definition: Given a sequence {u_n} of real or complex numbers, let p_n = (u_1)(u_2)...(u_n). The ordered air of sequence ({u_n}, {p_n}) is called an infinite product (or simply a product). The number p_n is called the nth partial product and u_n is called the nth factor of the product.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

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