Question

Is $H(\theta) = \sum \limits_{k=1}^{\infty} \frac{1}{k} \cos (2\pi n_k \theta)$ for a given sequence $n_k$ equal a.e. to a continuous function?

score 157 · Answer 1 · 2026-03-28 07:16:34

157

Views

Is $H(\theta) = \sum \limits_{k=1}^{\infty} \frac{1}{k} \cos (2\pi n_k \theta)$ for a given sequence $n_k$ equal a.e. to a continuous function?

Published on 28 Mar 2026 - 7:16

score 158 · Answer 2 · 2015-04-16 17:44:48

158

Views

Infinite series $\sum_{n=1}^{\infty}nx^{n+1}$ does not comply to any of my (known) tests

Published on 16 Apr 2015 - 17:44

score 55 · Answer 3 · 2015-04-16 19:29:13

55

Views

estimates for Abel's theorem

Published on 16 Apr 2015 - 19:29

score 81 · Answer 4 · 2015-04-17 06:30:04

81

Views

Root Test for Convergence or Divergence (ln problem)

Published on 17 Apr 2015 - 6:30

score 124 · Answer 5 · 2015-04-17 08:21:09

124

Views

Root test for $\sum_{n=8}^\infty \left(1+\frac{3}{n}\right)^{n^2}$

Published on 17 Apr 2015 - 8:21

score 45 · Answer 6 · 2015-04-18 22:55:10

45

Views

Puzzled at this alternating series problem.

Published on 18 Apr 2015 - 22:55

score 70 · Answer 7 · 2015-04-25 13:34:29

70

Views

Is $\sum_{k=-\infty}^{0}f(-k)=\sum_{k=0}^{\infty} f(k)$ always?

Published on 25 Apr 2015 - 13:34

score 101 · Answer 8 · 2015-04-30 12:30:03

101

Views

Divergent, convergent series

Published on 30 Apr 2015 - 12:30

score 70 · Answer 9 · 2015-05-01 10:37:09

70

Views

Discuss whether the series $\sum \left[(\pi/2)^a - (\arctan n)^a\right]$ converges or not, based on the value of $a$

Published on 01 May 2015 - 10:37

score 109 · Answer 10 · 2015-05-01 19:43:10

109

Views

Convergence of $\sum_{n=1}^{\infty} \frac{n^3}{\ln(2)^n}$

Published on 01 May 2015 - 19:43

score 181 · Answer 11 · 2015-05-03 02:30:13

181

Views

How do you solve for the limit of this series?

Published on 03 May 2015 - 2:30

score 520 · Answer 12 · 2015-05-03 05:19:40

520

Views

Proof infinite series $1 + 2 + 3 +\cdots +n+\cdots$ diverges

Published on 03 May 2015 - 5:19

score 65 · Answer 13 · 2015-05-04 16:14:04

65

Views

Proof of divergence of a series 4

Published on 04 May 2015 - 16:14

score 103 · Answer 14 · 2026-03-27 07:50:36

103

Views

$\sum a_{n}$ is convergent, $\sum a_{n}^2$ is divergent. Prove $\sum a_{n}$ is conditionally convergent.

Published on 27 Mar 2026 - 7:50

score 65 · Answer 15 · 2015-05-07 22:20:22

65

Views

Is the following series convergent or divergent. If convergent find the sum if possible.

Published on 07 May 2015 - 22:20

List Question

Is $H(\theta) = \sum \limits_{k=1}^{\infty} \frac{1}{k} \cos (2\pi n_k \theta)$ for a given sequence $n_k$ equal a.e. to a continuous function?

Infinite series $\sum_{n=1}^{\infty}nx^{n+1}$ does not comply to any of my (known) tests

estimates for Abel's theorem

Root Test for Convergence or Divergence (ln problem)

Root test for $\sum_{n=8}^\infty \left(1+\frac{3}{n}\right)^{n^2}$

Puzzled at this alternating series problem.

Is $\sum_{k=-\infty}^{0}f(-k)=\sum_{k=0}^{\infty} f(k)$ always?

Divergent, convergent series

Discuss whether the series $\sum \left[(\pi/2)^a - (\arctan n)^a\right]$ converges or not, based on the value of $a$

Convergence of $\sum_{n=1}^{\infty} \frac{n^3}{\ln(2)^n}$

How do you solve for the limit of this series?

Proof infinite series $1 + 2 + 3 +\cdots +n+\cdots$ diverges

Proof of divergence of a series 4

$\sum a_{n}$ is convergent, $\sum a_{n}^2$ is divergent. Prove $\sum a_{n}$ is conditionally convergent.

Is the following series convergent or divergent. If convergent find the sum if possible.

Trending Questions

Popular # Hahtags

Popular Questions