Question

Does $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}i^{n(n+1)}$ converge?

score 99 · Answer 1 · 2018-09-27 01:05:12

99

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Does $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}i^{n(n+1)}$ converge?

Published on 27 Sep 2018 - 1:05

score 664 · Answer 2 · 2018-09-27 06:43:01

664

Views

Is convergence in distribution transitive?

Published on 27 Sep 2018 - 6:43

score 54 · Answer 3 · 2026-03-28 10:56:23

54

Views

Radius of convergence of $\sum(n-1/n)^{n^2}z^n$

Published on 28 Mar 2026 - 10:56

score 87 · Answer 4 · 2018-09-27 15:44:59

87

Views

Use the definition of convergence of a sequence to show the sequence $a_n=4(\frac{3}7)^n +9$ converges.

Published on 27 Sep 2018 - 15:44

score 461 · Answer 5 · 2026-03-29 03:35:56

461

Views

The topology of uniform convergence on compact subsets of $C(\mathbb{R})$

Published on 29 Mar 2026 - 3:35

score 67 · Answer 6 · 2018-09-28 02:58:49

67

Views

$ \lim_{n \to \infty} \frac{(-1)^n(3-n)}{(3n-5)}$ and ...

Published on 28 Sep 2018 - 2:58

score 457 · Answer 7 · 2026-03-26 17:46:02

457

Views

For each $\beta \in(0,1)$, give a sequence $\{a_j\}\subset(0,1)$ with $\prod (1-\alpha_j) = \beta $

Published on 26 Mar 2026 - 17:46

score 235 · Answer 8 · 2018-09-28 11:56:12

235

Views

What is the nature of the series $\sum \frac{5^n - 3^n}{3^n + n^4 } $

Published on 28 Sep 2018 - 11:56

score 78 · Answer 9 · 2026-03-27 12:02:55

78

Views

Mathematically correct way of using the generator functions

Published on 27 Mar 2026 - 12:02

score 25 · Answer 10 · 2018-09-28 19:48:05

25

Views

Question regarding the frequency a sequence takes specific values

Published on 28 Sep 2018 - 19:48

score 1.3k · Answer 11 · 2026-03-25 23:09:05

1.3k

Views

Convergence in measure and boundness implies weak convergence in $L^p$

Published on 25 Mar 2026 - 23:09

score 162 · Answer 12 · 2026-03-30 21:35:21

162

Views

Find the radius of convergene R for power series

Published on 30 Mar 2026 - 21:35

score 71 · Answer 13 · 2018-09-29 13:57:27

Is it true $(X_n, Y_n) \rightarrow N( (\mu_1, \mu_2), diag(\sigma^2_1, \sigma^2_2))$ when $X_n$, $Y_n$ each goes to normal independently.

score 13 · Answer 14 · 2026-03-28 15:36:36

13

Views

If $u_n-\sum_{k=1}^m c_ku_{n-k}$ converges, what conditions on the $c_k$ imply that $u_n$ converges?

Published on 28 Mar 2026 - 15:36

score 55 · Answer 15 · 2018-09-30 11:40:56

55

Views

Convergence of the sequence $ x_n=\frac{x_{n-1}+x_{n-2}+....+x_{n-p}}p $

Published on 30 Sep 2018 - 11:40

List Question

Does $\sum_{n=1}^{\infty} \frac{(-1)^n}{n}i^{n(n+1)}$ converge?

Is convergence in distribution transitive?

Radius of convergence of $\sum(n-1/n)^{n^2}z^n$

Use the definition of convergence of a sequence to show the sequence $a_n=4(\frac{3}7)^n +9$ converges.

The topology of uniform convergence on compact subsets of $C(\mathbb{R})$

$ \lim_{n \to \infty} \frac{(-1)^n(3-n)}{(3n-5)}$ and ...

For each $\beta \in(0,1)$, give a sequence $\{a_j\}\subset(0,1)$ with $\prod (1-\alpha_j) = \beta $

What is the nature of the series $\sum \frac{5^n - 3^n}{3^n + n^4 } $

Mathematically correct way of using the generator functions

Question regarding the frequency a sequence takes specific values

Convergence in measure and boundness implies weak convergence in $L^p$

Find the radius of convergene R for power series

Is it true $(X_n, Y_n) \rightarrow N( (\mu_1, \mu_2), diag(\sigma^2_1, \sigma^2_2))$ when $X_n$, $Y_n$ each goes to normal independently.

If $u_n-\sum_{k=1}^m c_ku_{n-k}$ converges, what conditions on the $c_k$ imply that $u_n$ converges?

Convergence of the sequence $ x_n=\frac{x_{n-1}+x_{n-2}+....+x_{n-p}}p $

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