Question

Does the series $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{3n+n(-1)^n}$ converge?

score 1k · Answer 1 · 2026-03-27 23:46:38

1k

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Does the series $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{3n+n(-1)^n}$ converge?

Published on 27 Mar 2026 - 23:46

score 42 · Answer 2 · 2018-12-08 09:22:03

42

Views

Can Convergence in probability in this problem be reinforced to Almost sure convergence

Published on 08 Dec 2018 - 9:22

score 160 · Answer 3 · 2018-12-08 10:24:52

160

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Real Analysis, $\lim\limits_{n\rightarrow\infty} \int_{0}^{1} \frac{e^{-nt}-(1-t)^n}{t} dt$

Published on 08 Dec 2018 - 10:24

score 295 · Answer 4 · 2018-12-08 13:12:53

295

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Convergence or divergence of $ \sum_{n=1}^{\infty}\frac{\sqrt{n+2}-\sqrt{n}}{n^{3/2}} $: How to argue?

Published on 08 Dec 2018 - 13:12

score 109 · Answer 5 · 2018-12-08 15:29:10

109

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Prove: $\sum b_n < \infty \Longrightarrow \sum a_n < \infty \ $, where $ \ \exists N: \forall n \geq N: \frac{a_{n+1}}{a_n} \leq \frac{b_{n+1}}{b_n}$

Published on 08 Dec 2018 - 15:29

score 198 · Answer 6 · 2018-12-08 15:33:01

198

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What value does $\sum_{n=1}^{\infty} \dfrac{1}{4n^2+16n+7}$ converge to?

Published on 08 Dec 2018 - 15:33

score 687 · Answer 7 · 2018-12-09 06:42:59

687

Views

Questions about conditionally convergent series and rearrangement of

Published on 09 Dec 2018 - 6:42

score 143 · Answer 8 · 2026-04-01 12:23:27

143

Views

find a free ultrafilter on $\Bbb N$

Published on 01 Apr 2026 - 12:23

score 156 · Answer 9 · 2026-03-30 01:52:08

156

Views

The series $\frac{1}{2}+\frac{2}{5}+\frac{3}{11}+\frac{4}{23}+...$

Published on 30 Mar 2026 - 1:52

score 82 · Answer 10 · 2026-03-29 14:03:09

82

Views

Show some theorem concerning of the uniform convergence on compacts of a sequence of polynomials of order $<k$

Published on 29 Mar 2026 - 14:03

score 57 · Answer 11 · 2026-03-27 23:47:47

57

Views

Is the (x-a) format necessary when finding the radius of convergence for a geometric series?

Published on 27 Mar 2026 - 23:47

score 83 · Answer 12 · 2018-12-09 19:29:55

83

Views

Trying to Prove a generalization of Raabe's test

Published on 09 Dec 2018 - 19:29

score 49 · Answer 13 · 2018-12-09 19:55:19

49

Views

Convergence of $b_n = \frac{\sum_{i=1}^na_i}{4}$

Published on 09 Dec 2018 - 19:55

score 7.5k · Answer 14 · 2018-12-09 23:06:35

7.5k

Views

Does $\int_1^\infty \frac{\ln(x)}{x^2} dx $ converge or diverge?

Published on 09 Dec 2018 - 23:06

score 36 · Answer 15 · 2018-12-09 23:44:06

36

Views

Formulated a Series Problem But Unfortunately Don't Know How To Solve

Published on 09 Dec 2018 - 23:44

List Question

Does the series $\sum_{n=1}^\infty \frac{(-1)^{n+1}}{3n+n(-1)^n}$ converge?

Can Convergence in probability in this problem be reinforced to Almost sure convergence

Real Analysis, $\lim\limits_{n\rightarrow\infty} \int_{0}^{1} \frac{e^{-nt}-(1-t)^n}{t} dt$

Convergence or divergence of $ \sum_{n=1}^{\infty}\frac{\sqrt{n+2}-\sqrt{n}}{n^{3/2}} $: How to argue?

Prove: $\sum b_n < \infty \Longrightarrow \sum a_n < \infty \ $, where $ \ \exists N: \forall n \geq N: \frac{a_{n+1}}{a_n} \leq \frac{b_{n+1}}{b_n}$

What value does $\sum_{n=1}^{\infty} \dfrac{1}{4n^2+16n+7}$ converge to?

Questions about conditionally convergent series and rearrangement of

find a free ultrafilter on $\Bbb N$

The series $\frac{1}{2}+\frac{2}{5}+\frac{3}{11}+\frac{4}{23}+...$

Show some theorem concerning of the uniform convergence on compacts of a sequence of polynomials of order $<k$

Is the (x-a) format necessary when finding the radius of convergence for a geometric series?

Trying to Prove a generalization of Raabe's test

Convergence of $b_n = \frac{\sum_{i=1}^na_i}{4}$

Does $\int_1^\infty \frac{\ln(x)}{x^2} dx $ converge or diverge?

Formulated a Series Problem But Unfortunately Don't Know How To Solve

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