List questions from infinite-product

Published on 08 Apr 2026 - 19:08

120

Views

Cartesian product indexed by a closed interval

Published on 10 May 2026 - 14:04

184

Views

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 17 Apr 2026 - 1:31

90

Views

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

Published on 14 Apr 2026 - 15:55

98

Views

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

Published on 16 Apr 2026 - 16:06

398

Views

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

Published on 17 Apr 2026 - 23:07

149

Views

Infinite prime product equals $\sqrt{5}$

Published on 14 Apr 2026 - 3:47

49

Views

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

Published on 10 May 2026 - 18:05

186

Views

Simplifying an infinite fraction

Published on 10 May 2026 - 15:58

116

Views

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

Published on 10 May 2026 - 16:56

34

Views

Changing indexing of an infinte series

Published on 11 Apr 2026 - 21:51

238

Views

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

Published on 12 Apr 2026 - 10:49

64

Views

Proof that this product is strictly positive

Published on 10 May 2026 - 17:36

82

Views

Weird Product Series

Published on 14 Apr 2026 - 19:28

505

Views

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

Published on 07 May 2026 - 14:00

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?

Trending Questions

Popular # Hahtags

Popular Questions