Question

How do I calculate the sum of this infinite series? $\sum\limits_{n=1}^{\infty}\frac{1}{4n^{2}-1}$

score 302 · Answer 1 · 2026-03-24 22:14:08

302

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How do I calculate the sum of this infinite series? $\sum\limits_{n=1}^{\infty}\frac{1}{4n^{2}-1}$

Published on 24 Mar 2026 - 22:14

score 80 · Answer 2 · 2018-01-16 23:49:23

80

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Finding $\lim_{n\rightarrow\infty} \sum^{n}_{k=0}\left|\frac{2\pi\cos(k\pi(3-\sqrt{5}))}{n}\right|$

Published on 16 Jan 2018 - 23:49

score 145 · Answer 3 · 2026-04-10 04:45:33

145

Views

Approximate x+1 without addition and logarithms

Published on 10 Apr 2026 - 4:45

score 75 · Answer 4 · 2026-04-09 00:05:20

75

Views

Value of $a_2+a_6+a_{10}+\cdots+a_{42}$

Published on 09 Apr 2026 - 0:05

score 382 · Answer 5 · 2026-03-27 12:08:30

382

Views

Define and explain Reciprocal Series

Published on 27 Mar 2026 - 12:08

score 190 · Answer 6 · 2026-03-26 20:59:38

190

Views

Sequences and Series Comparison

Published on 26 Mar 2026 - 20:59

score 59 · Answer 7 · 2026-03-25 01:13:20

59

Views

Inconsistent set theoretic notation for expressing function/sequence spaces

Published on 25 Mar 2026 - 1:13

score 180 · Answer 8 · 2026-04-08 22:42:29

180

Views

Using Fixed point iteration to find sum of a Serias

Published on 08 Apr 2026 - 22:42

score 226 · Answer 9 · 2026-03-24 22:14:08

226

Views

The subsequential limits of a sequence {$p_n$} in a metric space $X$ form a closed subset of $X$ (Rudin)

Published on 24 Mar 2026 - 22:14

score 89 · Answer 10 · 2026-03-24 22:17:33

89

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Prove that $\sum_{n=1}^{+\infty}\frac{(2n+1)}{(n^2)(n+1)^2}=1$.

Published on 24 Mar 2026 - 22:17

score 2k · Answer 11 · 2018-01-17 10:54:24

2k

Views

Limit of an infinite series as limit of sequence of partial sums.

Published on 17 Jan 2018 - 10:54

score 398 · Answer 12 · 2026-03-22 08:13:54

398

Views

Prove that $(a_n)$ is eventually constant

Published on 22 Mar 2026 - 8:13

score 60 · Answer 13 · 2026-04-08 22:46:53

60

Views

Uniform convergence of a series depending on $\alpha ,\beta$

Published on 08 Apr 2026 - 22:46

score 170 · Answer 14 · 2018-01-17 17:08:16

170

Views

Can't find the result of $ \sum_{n=0}^{\infty} \frac 1 {n(n+1)(n+2)}$

Published on 17 Jan 2018 - 17:08

score 1.4k · Answer 15 · 2018-01-17 17:11:10

1.4k

Views

$\sum_{n=1}^\infty\log\left (\frac{n^2}{1+n^2}\right)$

Published on 17 Jan 2018 - 17:11

List Question

How do I calculate the sum of this infinite series? $\sum\limits_{n=1}^{\infty}\frac{1}{4n^{2}-1}$

Finding $\lim_{n\rightarrow\infty} \sum^{n}_{k=0}\left|\frac{2\pi\cos(k\pi(3-\sqrt{5}))}{n}\right|$

Approximate x+1 without addition and logarithms

Value of $a_2+a_6+a_{10}+\cdots+a_{42}$

Define and explain Reciprocal Series

Sequences and Series Comparison

Inconsistent set theoretic notation for expressing function/sequence spaces

Using Fixed point iteration to find sum of a Serias

The subsequential limits of a sequence {$p_n$} in a metric space $X$ form a closed subset of $X$ (Rudin)

Prove that $\sum_{n=1}^{+\infty}\frac{(2n+1)}{(n^2)(n+1)^2}=1$.

Limit of an infinite series as limit of sequence of partial sums.

Prove that $(a_n)$ is eventually constant

Uniform convergence of a series depending on $\alpha ,\beta$

Can't find the result of $ \sum_{n=0}^{\infty} \frac 1 {n(n+1)(n+2)}$

$\sum_{n=1}^\infty\log\left (\frac{n^2}{1+n^2}\right)$

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