Question

Are all analytic continuations consistent with $1+2+3+\dots=-\frac{1}{12}$?

score 117 · Answer 1 · 2026-03-25 12:53:08

117

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Are all analytic continuations consistent with $1+2+3+\dots=-\frac{1}{12}$?

Published on 25 Mar 2026 - 12:53

score 152 · Answer 2 · 2026-03-25 04:40:30

152

Views

Are all analytic continuations consistent with $1-1+1-1+\dots = \frac{1}{2}$?

Published on 25 Mar 2026 - 4:40

score 57 · Answer 3 · 2019-12-01 18:15:25

57

Views

prove that the series convereges and find its value $\frac{5^{k+1}+(-3)^k}{7^{k+2}}$

Published on 01 Dec 2019 - 18:15

score 103 · Answer 4 · 2019-12-04 06:35:39

103

Views

Simple Real Analysis Problem - Using comparison test to prove a series diverges.

Published on 04 Dec 2019 - 6:35

score 374 · Answer 5 · 2019-12-08 00:37:59

374

Views

Find the infinite sum of the series $\sum_{n=1}^\infty \frac{n^2}{(n^2 +1)^2}$

Published on 08 Dec 2019 - 0:37

score 120 · Answer 6 · 2026-03-28 12:02:28

120

Views

Ratio of divergent series

Published on 28 Mar 2026 - 12:02

score 52 · Answer 7 · 2019-12-14 07:48:20

52

Views

proving that a series is divergent

Published on 14 Dec 2019 - 7:48

score 41 · Answer 8 · 2019-12-26 07:35:20

41

Views

Prove that the sequence {$n^{\frac{1}{2}}$} diverges where $n\in \mathbb N$

Published on 26 Dec 2019 - 7:35

score 85 · Answer 9 · 2019-12-27 23:42:13

85

Views

Convergence of sum of $1/r^2_k$, where $r_k \in \mathbb{R}$

Published on 27 Dec 2019 - 23:42

score 86 · Answer 10 · 2026-03-27 04:21:58

86

Views

Is there an approximation in terms of nth terms at the harmonic series (and simple to prove)?

Published on 27 Mar 2026 - 4:21

score 99 · Answer 11 · 2020-01-01 17:22:29

99

Views

'Limits' of divergent series'

Published on 01 Jan 2020 - 17:22

score 115 · Answer 12 · 2020-01-04 13:44:21

115

Views

How to show that $\exists \lim_{x\rightarrow1^{-}}\sum_{n=0}^{+\infty} (-1)^n x^{n^2} = 1/2$?

Published on 04 Jan 2020 - 13:44

score 91 · Answer 13 · 2020-01-06 04:55:45

91

Views

Is series $\ln\frac{n+1}{n-1}$ converging?

Published on 06 Jan 2020 - 4:55

score 95 · Answer 14 · 2020-01-07 15:13:21

95

Views

Divergent non negative series smaller than harmonic series

Published on 07 Jan 2020 - 15:13

score 77 · Answer 15 · 2020-01-11 18:04:18

77

Views

Does the series converge, problem with $(-1)^n$, but Leibnitz impossible.

Published on 11 Jan 2020 - 18:04

List Question

Are all analytic continuations consistent with $1+2+3+\dots=-\frac{1}{12}$?

Are all analytic continuations consistent with $1-1+1-1+\dots = \frac{1}{2}$?

prove that the series convereges and find its value $\frac{5^{k+1}+(-3)^k}{7^{k+2}}$

Simple Real Analysis Problem - Using comparison test to prove a series diverges.

Find the infinite sum of the series $\sum_{n=1}^\infty \frac{n^2}{(n^2 +1)^2}$

Ratio of divergent series

proving that a series is divergent

Prove that the sequence {$n^{\frac{1}{2}}$} diverges where $n\in \mathbb N$

Convergence of sum of $1/r^2_k$, where $r_k \in \mathbb{R}$

Is there an approximation in terms of nth terms at the harmonic series (and simple to prove)?

'Limits' of divergent series'

How to show that $\exists \lim_{x\rightarrow1^{-}}\sum_{n=0}^{+\infty} (-1)^n x^{n^2} = 1/2$?

Is series $\ln\frac{n+1}{n-1}$ converging?

Divergent non negative series smaller than harmonic series

Does the series converge, problem with $(-1)^n$, but Leibnitz impossible.

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