Question

Proof of convergence rate for iterative methods

score 487 · Answer 1 · 2026-03-25 23:36:09

487

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Proof of convergence rate for iterative methods

Published on 25 Mar 2026 - 23:36

score 130 · Answer 2 · 2026-04-03 10:07:37

130

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Does Cauchy imply boundedness?

Published on 03 Apr 2026 - 10:07

score 53 · Answer 3 · 2026-03-27 01:00:16

53

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Question about convergence of a series - need help understanding a proof for the strong law of large numbers

Published on 27 Mar 2026 - 1:00

score 461 · Answer 4 · 2018-10-05 05:38:24

461

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$X_n \to X$ a.s. iff $\mathbb{P}(|X_n-X|>\epsilon_n \, \, \text{i.o.})=0$ for some $\epsilon_n \to 0$

Published on 05 Oct 2018 - 5:38

score 47 · Answer 5 · 2026-03-27 00:58:33

47

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Almsot surely convergence of series

Published on 27 Mar 2026 - 0:58

score 175 · Answer 6 · 2026-03-25 03:22:12

175

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Showing $\int |f_n - g_n| dx \to 0$ when normal $X_n \overset{p}{\to} \mu, Y_n \overset{p}{\to} \mu $

Published on 25 Mar 2026 - 3:22

score 30 · Answer 7 · 2018-10-05 14:07:09

30

Views

Clarification regarding existence in case of Monotone Convergence Theorem

Published on 05 Oct 2018 - 14:07

score 151 · Answer 8 · 2026-03-27 01:00:13

151

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If $\lim_{n \rightarrow \infty} \frac{S_n^4}{n^4} = 0$ then $\lim_{n \rightarrow \infty} \frac{S_n}{n} = 0$

Published on 27 Mar 2026 - 1:00

score 57 · Answer 9 · 2026-04-01 10:49:19

57

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Evaluate $\displaystyle \lim_{n \to \infty} \sum_{k=1}^n \frac{3k}{2^k}$

Published on 01 Apr 2026 - 10:49

score 462 · Answer 10 · 2026-03-25 16:01:39

462

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Convergence in Probability does not imply Convergence in Quadratic Mean: Counterexample

Published on 25 Mar 2026 - 16:01

score 594 · Answer 11 · 2018-10-06 10:03:35

594

Views

On the integral $\int_0^\pi\sin(x+\sin(x+\sin(x+\cdots)))\,dx$

Published on 06 Oct 2018 - 10:03

score 98 · Answer 12 · 2018-10-06 10:42:44

98

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convergence of the series $\sum u_n, u_n = \frac{n^n x^n}{n!}$ for $x>0$

Published on 06 Oct 2018 - 10:42

score 56 · Answer 13 · 2018-10-06 13:30:20

56

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Convergence of $ \sum^{\infty} \frac{\sum_{k=0}^{n} k!}{(n + p)!}$ for $p=2$.

Published on 06 Oct 2018 - 13:30

score 210 · Answer 14 · 2026-04-01 10:45:49

210

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Can someone help me finish this: evaluate $S_n = \frac{x}{1-x^2}+\frac{x^2}{1-x^4}+ ... + \frac{x^{2^{n-1}}}{1-x^{2^{n}}}$

Published on 01 Apr 2026 - 10:45

score 204 · Answer 15 · 2018-10-06 15:46:28

204

Views

How does this integral converge towards zero as R approaches ∞?

Published on 06 Oct 2018 - 15:46

List Question

Proof of convergence rate for iterative methods

Does Cauchy imply boundedness?

Question about convergence of a series - need help understanding a proof for the strong law of large numbers

$X_n \to X$ a.s. iff $\mathbb{P}(|X_n-X|>\epsilon_n \, \, \text{i.o.})=0$ for some $\epsilon_n \to 0$

Almsot surely convergence of series

Showing $\int |f_n - g_n| dx \to 0$ when normal $X_n \overset{p}{\to} \mu, Y_n \overset{p}{\to} \mu $

Clarification regarding existence in case of Monotone Convergence Theorem

If $\lim_{n \rightarrow \infty} \frac{S_n^4}{n^4} = 0$ then $\lim_{n \rightarrow \infty} \frac{S_n}{n} = 0$

Evaluate $\displaystyle \lim_{n \to \infty} \sum_{k=1}^n \frac{3k}{2^k}$

Convergence in Probability does not imply Convergence in Quadratic Mean: Counterexample

On the integral $\int_0^\pi\sin(x+\sin(x+\sin(x+\cdots)))\,dx$

convergence of the series $\sum u_n, u_n = \frac{n^n x^n}{n!}$ for $x>0$

Convergence of $ \sum^{\infty} \frac{\sum_{k=0}^{n} k!}{(n + p)!}$ for $p=2$.

Can someone help me finish this: evaluate $S_n = \frac{x}{1-x^2}+\frac{x^2}{1-x^4}+ ... + \frac{x^{2^{n-1}}}{1-x^{2^{n}}}$

How does this integral converge towards zero as R approaches ∞?

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