List questions from infinite-product

Published on 29 Mar 2018 - 5:30

81

Views

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

Published on 01 Apr 2018 - 13:36

95

Views

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

Published on 02 Apr 2018 - 19:54

55

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

Published on 08 Apr 2018 - 9:04

356

Views

Convergent infinite product of a matrix sequence

Published on 25 Mar 2026 - 6:04

409

Views

Extrema of an infinite product of sinc functions

Published on 26 Mar 2026 - 1:25

258

Views

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

Published on 18 Apr 2018 - 5:08

70

Views

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

Published on 18 Apr 2018 - 15:33

982

Views

Asymptotic decay rate of an infinite product of sinc functions

Published on 26 Mar 2026 - 7:39

224

Views

Compact topology between box and product topology

Published on 20 Apr 2018 - 22:33

107

Views

A series of Wallis-like infinite products of fractions

Published on 22 Apr 2018 - 0:18

605

Views

Is this a genuinely new proof of Wallis' Product?

Published on 22 Apr 2018 - 1:15

41

Views

Infinite product with non homogenous recurrence relation

Published on 23 Apr 2018 - 16:19

598

Views

Odd values for Dirichlet beta function

Published on 25 Mar 2026 - 1:13

281

Views

How to solve this product?

Published on 25 Apr 2018 - 2:53

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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