List questions from convergence-divergence

Published on 25 Mar 2026 - 17:24

314

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Convergence in distribution: Show $ \lim_{n \rightarrow \infty} \sup \mathbb{P} (x^n \in C) \leq \ \mathbb{P}(x \in C) $

Published on 25 Mar 2026 - 9:39

31

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Convergence in normed spaces 1/sup

Published on 28 Mar 2026 - 10:17

74

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Convergence rate of multivariate polynomials.

Published on 25 Mar 2026 - 19:32

79

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The series$\sum\limits_{n=1}^{\infty}(\frac{(2n-1)!!}{(2n)!!})^p$ converges if and only if $p>2$

Published on 26 Mar 2026 - 11:00

136

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Prove that the following sequence converges

Published on 12 May 2018 - 12:07

61

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Does the following series converges?

Published on 12 May 2018 - 12:24

31

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Two metrics: convergence

Published on 31 Mar 2026 - 22:03

26

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A sequence close to a decreasing sequence is nearly decreasing ?

Published on 12 May 2018 - 15:59

321

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Show that $\lim_{n\to \infty}\int_{0}^{1}g(x)f(nx)dx = \Big(\int_{0}^{1}g(x)dx\Big)\Big(\int_{0}^{1}f(x)dx\Big)$

Published on 28 Mar 2026 - 8:35

157

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Abel's theorem and generating function

Published on 28 Mar 2026 - 8:47

36

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Prove the following problem about fibonacci convergence problem

Published on 13 May 2018 - 10:42

2.2k

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$X_n \to X, Y_n \to c$ in distribution implies $X_n Y_n \to Xc$ in distribution

Published on 13 May 2018 - 10:51

333

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For what values of $\alpha$, does this integral converge?

Published on 13 May 2018 - 14:10

29

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Random coefficient GARCH(1,1): Existence of solution

Published on 25 Mar 2026 - 9:48

List Question

Probability of a sequence of interval

Convergence in distribution: Show $ \lim_{n \rightarrow \infty} \sup \mathbb{P} (x^n \in C) \leq \ \mathbb{P}(x \in C) $

Convergence in normed spaces 1/sup

Convergence rate of multivariate polynomials.

The series$\sum\limits_{n=1}^{\infty}(\frac{(2n-1)!!}{(2n)!!})^p$ converges if and only if $p>2$

Prove that the following sequence converges

Does the following series converges?

Two metrics: convergence

A sequence close to a decreasing sequence is nearly decreasing ?

Show that $\lim_{n\to \infty}\int_{0}^{1}g(x)f(nx)dx = \Big(\int_{0}^{1}g(x)dx\Big)\Big(\int_{0}^{1}f(x)dx\Big)$

Abel's theorem and generating function

Prove the following problem about fibonacci convergence problem

$X_n \to X, Y_n \to c$ in distribution implies $X_n Y_n \to Xc$ in distribution

For what values of $\alpha$, does this integral converge?

Random coefficient GARCH(1,1): Existence of solution

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