List questions from infinite-product

Published on 17 Apr 2026 - 2:44

86

Views

$^n\sqrt{2^n-n^2} = ?$

Published on 16 Apr 2026 - 10:25

98

Views

Why do we have $ \sin(x) = x \prod_{n=1}^{\infty} ( 1 - \frac{4}{3} \sin^2 (\frac{x}{3^n})) $

Published on 17 Apr 2026 - 7:11

58

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Computing the limit of the sequence : $ x_n = \prod_{i=1}^{n} 1 + a^{2i} $

Published on 15 Apr 2026 - 23:42

359

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Convergent infinite product of a matrix sequence

Published on 15 Apr 2026 - 14:10

411

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Extrema of an infinite product of sinc functions

Published on 13 Apr 2026 - 8:06

261

Views

Is the product $\prod_{n=1}^{\infty}\left(\frac{\Gamma(n+\frac{1}{2})}{\sqrt{n}\Gamma(n)}\right)$ convergent?

Published on 16 Apr 2026 - 17:56

73

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Prove that $\prod_{i=1}^\infty \left(1-\frac{1}{5^i}\right) >3/4$

Published on 17 Apr 2026 - 16:02

984

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Asymptotic decay rate of an infinite product of sinc functions

Published on 13 Apr 2026 - 2:16

227

Views

Compact topology between box and product topology

Published on 11 Apr 2026 - 21:55

110

Views

A series of Wallis-like infinite products of fractions

Published on 11 Apr 2026 - 5:18

608

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Is this a genuinely new proof of Wallis' Product?

Published on 10 Apr 2026 - 18:24

44

Views

Infinite product with non homogenous recurrence relation

Published on 11 Apr 2026 - 13:16

601

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Odd values for Dirichlet beta function

Published on 10 May 2026 - 14:02

286

Views

How to solve this product?

Published on 11 Apr 2026 - 12:36

List Question

Does infinite product $ \prod ( 1 - \frac{1}{2^n} ) $ diverge to 0 or converge

$^n\sqrt{2^n-n^2} = ?$

Why do we have $ \sin(x) = x \prod_{n=1}^{\infty} ( 1 - \frac{4}{3} \sin^2 (\frac{x}{3^n})) $

Computing the limit of the sequence : $ x_n = \prod_{i=1}^{n} 1 + a^{2i} $

Convergent infinite product of a matrix sequence

Extrema of an infinite product of sinc functions

Is the product $\prod_{n=1}^{\infty}\left(\frac{\Gamma(n+\frac{1}{2})}{\sqrt{n}\Gamma(n)}\right)$ convergent?

Prove that $\prod_{i=1}^\infty \left(1-\frac{1}{5^i}\right) >3/4$

Asymptotic decay rate of an infinite product of sinc functions

Compact topology between box and product topology

A series of Wallis-like infinite products of fractions

Is this a genuinely new proof of Wallis' Product?

Infinite product with non homogenous recurrence relation

Odd values for Dirichlet beta function

How to solve this product?

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