Question

Simpler proof of identity $ \sum_{n=1}^{\infty} \frac{H_n^2}{n2^n} = \frac{7}{8} \zeta(3) $

score 150 · Answer 1 · 2026-03-28 22:30:01

150

Views

Simpler proof of identity $ \sum_{n=1}^{\infty} \frac{H_n^2}{n2^n} = \frac{7}{8} \zeta(3) $

Published on 28 Mar 2026 - 22:30

score 168 · Answer 2 · 2023-09-10 17:32:19

168

Views

Alternative Proof that ln(2) is Irrational

Published on 10 Sep 2023 - 17:32

score 43 · Answer 3 · 2023-09-10 18:51:04

43

Views

Probability Proof(Finan #5.1.15)

Published on 10 Sep 2023 - 18:51

score 85 · Answer 4 · 2023-09-11 21:12:06

85

Views

Evaluate $\,\lim\limits_{x \to 0^{-}} \frac{\sin(\lfloor x\rfloor)}{x}$

Published on 11 Sep 2023 - 21:12

score 58 · Answer 5 · 2023-09-12 16:52:30

58

Views

Proving statements vs disproving statements

Published on 12 Sep 2023 - 16:52

score 103 · Answer 6 · 2026-04-01 05:03:07

103

Views

Exercise 14, Section 2.4 of Hungerford’s Abstract Algebra

Published on 01 Apr 2026 - 5:03

score 83 · Answer 7 · 2026-03-30 16:22:15

83

Views

Alternative proof request that $Aut(\mathbb{Q}_p)=\{Id\}$

Published on 30 Mar 2026 - 16:22

score 94 · Answer 8 · 2026-04-01 05:06:26

94

Views

In a group of order 120 with a normal subgroup of order 5, every subgroup of order 15 contains that normal subgroup. Simplest proof?

Published on 01 Apr 2026 - 5:06

score 104 · Answer 9 · 2023-09-21 23:07:46

104

Views

Prove $\lim\limits_{n\to+\infty}\left(\frac{n^2-1}{n(1+n^2)}\right)^\frac{1}{\sqrt{n}}=1$ without $\lim_{x\to 0^+}x\ln(x)=0$ and continuity of $e^x$

Published on 21 Sep 2023 - 23:07

score 80 · Answer 10 · 2023-09-22 11:08:08

80

Views

Alternative to disproving $\sum_{k=1}^{n} \frac{1}{k} < 3$ by exhaustion

Published on 22 Sep 2023 - 11:08

score 136 · Answer 11 · 2026-03-29 08:14:54

136

Views

Angle chasing problem with quadrilateral - possible approaches?

Published on 29 Mar 2026 - 8:14

score 186 · Answer 12 · 2023-09-23 14:14:01

186

Views

If $f'(x)$ is continuous at $a$ then prove that $\lim_{h\to 0}\frac{f(a+h)-f(a-h)}{2h}=f'(a)$

Published on 23 Sep 2023 - 14:14

score 81 · Answer 13 · 2023-09-25 00:00:48

81

Views

$(\operatorname{Mat}_n R)[x] \cong \operatorname{Mat}_n R[x]$ in the language of Categories

Published on 25 Sep 2023 - 0:00

score 91 · Answer 14 · 2023-09-26 11:05:03

91

Views

Convergence of $\sum\limits_{k=1}^{\infty}\left(a^\frac{1}{k^2}-1\right)$ and $\sum\limits_{k=1}^{\infty}\left(a^\frac{1}{k}-1\right)$ for $a>1$

Published on 26 Sep 2023 - 11:05

score 62 · Answer 15 · 2026-03-29 08:21:06

62

Views

Proving the relation between sides and diagonals of parallelogram without trigonometry and Pythagoras theorem

Published on 29 Mar 2026 - 8:21

List Question

Simpler proof of identity $ \sum_{n=1}^{\infty} \frac{H_n^2}{n2^n} = \frac{7}{8} \zeta(3) $

Alternative Proof that ln(2) is Irrational

Probability Proof(Finan #5.1.15)

Evaluate $\,\lim\limits_{x \to 0^{-}} \frac{\sin(\lfloor x\rfloor)}{x}$

Proving statements vs disproving statements

Exercise 14, Section 2.4 of Hungerford’s Abstract Algebra

Alternative proof request that $Aut(\mathbb{Q}_p)=\{Id\}$

In a group of order 120 with a normal subgroup of order 5, every subgroup of order 15 contains that normal subgroup. Simplest proof?

Prove $\lim\limits_{n\to+\infty}\left(\frac{n^2-1}{n(1+n^2)}\right)^\frac{1}{\sqrt{n}}=1$ without $\lim_{x\to 0^+}x\ln(x)=0$ and continuity of $e^x$

Alternative to disproving $\sum_{k=1}^{n} \frac{1}{k} < 3$ by exhaustion

Angle chasing problem with quadrilateral - possible approaches?

If $f'(x)$ is continuous at $a$ then prove that $\lim_{h\to 0}\frac{f(a+h)-f(a-h)}{2h}=f'(a)$

$(\operatorname{Mat}_n R)[x] \cong \operatorname{Mat}_n R[x]$ in the language of Categories

Convergence of $\sum\limits_{k=1}^{\infty}\left(a^\frac{1}{k^2}-1\right)$ and $\sum\limits_{k=1}^{\infty}\left(a^\frac{1}{k}-1\right)$ for $a>1$

Proving the relation between sides and diagonals of parallelogram without trigonometry and Pythagoras theorem

Trending Questions

Popular # Hahtags

Popular Questions