Question

Is the alternating series $\sum_{n=1}^{\infty }(-1)^n \frac {n^2 - 1}{2n^2 + 3}$ divergent?

score 249 · Answer 1 · 2016-10-27 20:49:29

249

Views

Is the alternating series $\sum_{n=1}^{\infty }(-1)^n \frac {n^2 - 1}{2n^2 + 3}$ divergent?

Published on 27 Oct 2016 - 20:49

score 68 · Answer 2 · 2016-10-28 10:36:51

68

Views

There exists $ \epsilon \gt 0$ and $\{x_{p_n}\}$ such that for each $n \in \mathbb N$, $|x_{p_n}-L| \gt \epsilon$

Published on 28 Oct 2016 - 10:36

score 104 · Answer 3 · 2016-10-29 02:34:30

104

Views

How to prove that the series $\sum_{n=1}^{\infty} (1+n!)/(1+n)!$ diverges?

Published on 29 Oct 2016 - 2:34

score 312 · Answer 4 · 2026-03-29 03:35:34

312

Views

Zeta Infinite Summation $\sum_{n=0}^{\infty}(-1)^{n}\,a_{n}\,\zeta(s+n)$

Published on 29 Mar 2026 - 3:35

score 39 · Answer 5 · 2016-10-31 03:52:43

39

Views

Showing that the sum of a complex power series is equal to an indicator variable

Published on 31 Oct 2016 - 3:52

score 305 · Answer 6 · 2026-03-27 09:18:53

305

Views

$1+1+1+1+\cdots = -\frac{21}{24}$

Published on 27 Mar 2026 - 9:18

score 119 · Answer 7 · 2016-11-04 15:46:47

119

Views

Convergence of the recursive sequence $x_n = x_{n-1} - \frac12\lambda(x_{n-1}-1)^{-3/2}$

Published on 04 Nov 2016 - 15:46

score 274 · Answer 8 · 2016-11-05 19:28:52

274

Views

What is the value of $\zeta(\sum_{n=1}^{\infty}\frac{1}{n}) $ and is it equal to $\zeta(\infty)$?

Published on 05 Nov 2016 - 19:28

score 1.2k · Answer 9 · 2016-11-06 23:30:06

1.2k

Views

Does this infinite geometric series diverge or converge?

Published on 06 Nov 2016 - 23:30

score 412 · Answer 10 · 2026-03-27 03:43:14

412

Views

Proof of harmonic series - please explain the reasoning behind each step of this proof

Published on 27 Mar 2026 - 3:43

score 175 · Answer 11 · 2016-11-07 21:28:19

175

Views

determine whether the series convergence $\sum _{n=1}^{\infty \:}\frac{i^n}{n}$

Published on 07 Nov 2016 - 21:28

score 573 · Answer 12 · 2016-11-09 15:15:30

573

Views

Show divergence with Leibniz's criterion for alternating series

Published on 09 Nov 2016 - 15:15

score 136 · Answer 13 · 2016-11-09 19:54:06

136

Views

Divergence of a power series

Published on 09 Nov 2016 - 19:54

score 1.1k · Answer 14 · 2016-11-10 17:44:45

1.1k

Views

How to prove if the series $\sum\limits_{n=2}^{\infty} \frac{n+1}{n^3-1} $ converges or diverges with comparison test?

Published on 10 Nov 2016 - 17:44

score 92 · Answer 15 · 2016-11-10 22:43:26

92

Views

How do you prove the series $\sum_\limits{n=0}^{\infty}(2n+1)(-x)^n$ is convergent?

Published on 10 Nov 2016 - 22:43

List Question

Is the alternating series $\sum_{n=1}^{\infty }(-1)^n \frac {n^2 - 1}{2n^2 + 3}$ divergent?

There exists $ \epsilon \gt 0$ and $\{x_{p_n}\}$ such that for each $n \in \mathbb N$, $|x_{p_n}-L| \gt \epsilon$

How to prove that the series $\sum_{n=1}^{\infty} (1+n!)/(1+n)!$ diverges?

Zeta Infinite Summation $\sum_{n=0}^{\infty}(-1)^{n}\,a_{n}\,\zeta(s+n)$

Showing that the sum of a complex power series is equal to an indicator variable

$1+1+1+1+\cdots = -\frac{21}{24}$

Convergence of the recursive sequence $x_n = x_{n-1} - \frac12\lambda(x_{n-1}-1)^{-3/2}$

What is the value of $\zeta(\sum_{n=1}^{\infty}\frac{1}{n}) $ and is it equal to $\zeta(\infty)$?

Does this infinite geometric series diverge or converge?

Proof of harmonic series - please explain the reasoning behind each step of this proof

determine whether the series convergence $\sum _{n=1}^{\infty \:}\frac{i^n}{n}$

Show divergence with Leibniz's criterion for alternating series

Divergence of a power series

How to prove if the series $\sum\limits_{n=2}^{\infty} \frac{n+1}{n^3-1} $ converges or diverges with comparison test?

How do you prove the series $\sum_\limits{n=0}^{\infty}(2n+1)(-x)^n$ is convergent?

Trending Questions

Popular # Hahtags

Popular Questions