Question

Does the infinite product $\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\dots$ converge?

score 183 · Answer 1 · 2026-03-26 14:22:59

183

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Does the infinite product $\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\dots$ converge?

Published on 26 Mar 2026 - 14:22

score 83 · Answer 2 · 2026-03-25 05:07:38

83

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Convergence of discrete function satisfying $|f_{k+1}(X_k)|\leq \delta\Vert f\Vert_\infty$ for $X_k$ Markov chain

Published on 25 Mar 2026 - 5:07

score 606 · Answer 3 · 2026-03-27 00:04:17

606

Views

Convergence of (sub)martingales in L$^1$

Published on 27 Mar 2026 - 0:04

score 268 · Answer 4 · 2018-07-16 17:53:25

268

Views

Convergence of the series $\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{x^n}$.

Published on 16 Jul 2018 - 17:53

score 123 · Answer 5 · 2018-07-16 19:24:50

123

Views

What can I say about the consecutive difference of a convergent sequence?

Published on 16 Jul 2018 - 19:24

score 306 · Answer 6 · 2026-03-26 09:50:05

306

Views

Conditions for $f(x_n,y_n) - f(x_0, y_n) \to 0$ if $(x_n,y_n) \to (x_0,y_0)$?

Published on 26 Mar 2026 - 9:50

score 47 · Answer 7 · 2026-03-31 16:26:42

47

Views

Proof Clarification weak convergence

Published on 31 Mar 2026 - 16:26

score 29 · Answer 8 · 2018-07-17 12:03:54

29

Views

If $Y_n \to Y_\infty$ a.s. and $P(Y_\infty \in D_{f \circ g})=0$ then $f(g(Y_n)) \to f(g(Y_\infty))$ a.s.

Published on 17 Jul 2018 - 12:03

score 101 · Answer 9 · 2018-07-18 06:19:53

101

Views

Examine convergence $\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n}} - \sqrt{\ln{\frac{n+1}{n}}} \right) $

Published on 18 Jul 2018 - 6:19

score 393 · Answer 10 · 2018-07-19 03:53:52

393

Views

The convergence of the sequence $(1/(n^a\ln^b(n)))$, where $a,b\in\mathbb{R}$

Published on 19 Jul 2018 - 3:53

score 428 · Answer 11 · 2026-03-23 13:16:07

428

Views

Pointwise convergence to $\exp(-x^2)$ implies uniform convergence in set of functions of compact support

Published on 23 Mar 2026 - 13:16

score 283 · Answer 12 · 2026-03-30 11:03:30

283

Views

Can this kind of curve ever be convergent?

Published on 30 Mar 2026 - 11:03

score 85 · Answer 13 · 2026-03-25 15:52:43

85

Views

Is it possible to extend the notion of $H$-convergence to the case of distributions?

Published on 25 Mar 2026 - 15:52

score 100 · Answer 14 · 2018-07-21 00:55:51

100

Views

Does $\sum_{k=1}^{n} \left(\frac{1}{k \cdot \log(n)}\right) $ converge to 1?

Published on 21 Jul 2018 - 0:55

score 103 · Answer 15 · 2026-03-29 03:36:02

103

Views

Why $ \sum_{k=1}^{\infty}\frac{1}{k^{1+x}} $ is not uniformly convergent on $ \left(0,\;+\infty\right) $

Published on 29 Mar 2026 - 3:36

List Question

Does the infinite product $\frac{2}{1}\times\frac{4}{3}\times\frac{6}{5}\times\dots$ converge?

Convergence of discrete function satisfying $|f_{k+1}(X_k)|\leq \delta\Vert f\Vert_\infty$ for $X_k$ Markov chain

Convergence of (sub)martingales in L$^1$

Convergence of the series $\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{x^n}$.

What can I say about the consecutive difference of a convergent sequence?

Conditions for $f(x_n,y_n) - f(x_0, y_n) \to 0$ if $(x_n,y_n) \to (x_0,y_0)$?

Proof Clarification weak convergence

If $Y_n \to Y_\infty$ a.s. and $P(Y_\infty \in D_{f \circ g})=0$ then $f(g(Y_n)) \to f(g(Y_\infty))$ a.s.

Examine convergence $\sum_{n=1}^{\infty} \left( \frac{1}{\sqrt{n}} - \sqrt{\ln{\frac{n+1}{n}}} \right) $

The convergence of the sequence $(1/(n^a\ln^b(n)))$, where $a,b\in\mathbb{R}$

Pointwise convergence to $\exp(-x^2)$ implies uniform convergence in set of functions of compact support

Can this kind of curve ever be convergent?

Is it possible to extend the notion of $H$-convergence to the case of distributions?

Does $\sum_{k=1}^{n} \left(\frac{1}{k \cdot \log(n)}\right) $ converge to 1?

Why $ \sum_{k=1}^{\infty}\frac{1}{k^{1+x}} $ is not uniformly convergent on $ \left(0,\;+\infty\right) $

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