List questions from infinite-product

Published on 25 Apr 2018 - 17:54

115

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Cartesian product indexed by a closed interval

Published on 25 Mar 2026 - 4:36

181

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Find $\lim_{n\to\infty}P_n$ where $P_n =\big (1+\frac{1}{a_1}\big)\big(1+\frac{1}{a_2}\big)\big(1+\frac{1}{a_3}\big)\cdots\big(1+\frac{1}{a_n}\big)$

Published on 05 May 2018 - 11:30

88

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Must there exist a number of digits $n$, for which the first $n$ digits of a normal number repeat?

Published on 26 Mar 2026 - 6:34

95

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Compute $\prod_{n=1}^\infty\bigg(1+\frac{(-1)^n}{n+1}\bigg)$

Published on 14 May 2018 - 4:56

395

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Why can't we write $\sin x$ as $\prod_{n=0}^{\infty}\left(x^2-n^2\pi^2\right)$?

Published on 26 May 2018 - 11:36

146

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Infinite prime product equals $\sqrt{5}$

Published on 26 May 2018 - 19:20

46

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Product of monotonically-decreasing sequence $x_n$ diverges if $x_i>1$?

Published on 25 Mar 2026 - 9:27

182

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Simplifying an infinite fraction

Published on 25 Mar 2026 - 1:15

113

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Interpret $\prod_{n=3}^\infty 1- \frac{1}{n\choose 2}$ as a probability

Published on 25 Mar 2026 - 19:04

31

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Changing indexing of an infinte series

Published on 10 Jun 2018 - 5:40

235

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Is there an uncountable subspace $F \subseteq \omega^{\omega_1}$ which is closed and discrete?

Published on 12 Jun 2018 - 16:57

61

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Proof that this product is strictly positive

Published on 25 Mar 2026 - 9:11

77

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Weird Product Series

Published on 19 Jun 2018 - 12:45

501

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What's the sum of the inverses of the Primorial numbers?

Published on 25 Mar 2026 - 15:47

List Question

Is the infinite product of $-1 \times -1 \times -1 \times\dots = -i$?

Cartesian product indexed by a closed interval

Find $\lim_{n\to\infty}P_n$ where $P_n =\big (1+\frac{1}{a_1}\big)\big(1+\frac{1}{a_2}\big)\big(1+\frac{1}{a_3}\big)\cdots\big(1+\frac{1}{a_n}\big)$

Must there exist a number of digits $n$, for which the first $n$ digits of a normal number repeat?

Compute $\prod_{n=1}^\infty\bigg(1+\frac{(-1)^n}{n+1}\bigg)$

Why can't we write $\sin x$ as $\prod_{n=0}^{\infty}\left(x^2-n^2\pi^2\right)$?

Infinite prime product equals $\sqrt{5}$

Product of monotonically-decreasing sequence $x_n$ diverges if $x_i>1$?

Simplifying an infinite fraction

Interpret $\prod_{n=3}^\infty 1- \frac{1}{n\choose 2}$ as a probability

Changing indexing of an infinte series

Is there an uncountable subspace $F \subseteq \omega^{\omega_1}$ which is closed and discrete?

Proof that this product is strictly positive

Weird Product Series

What's the sum of the inverses of the Primorial numbers?

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