List questions from euler-mascheroni-constant

Published on 13 Dec 2022 - 20:49

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Integrals of the form $\int_0^1\left(\frac{1}{x+1}-\ln\left|\frac{x+1}{2}\right|-\ln\ln\left|\frac{x+1}{x-1}\right|\right)dx$

Published on 17 Dec 2022 - 4:33

197

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Approximations of Euler's constant using $\pi$

Published on 23 Dec 2022 - 20:21

36

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How to prove that $\lim_{k\rightarrow\infty} H_k-\log_b(x)$ converges/diverges?

Published on 25 Dec 2022 - 23:07

514

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Proof of $\int_0^1\ln\left(\frac{1}{\ln \frac{1}{x}}\right)dx=\gamma$

Published on 02 Jan 2023 - 17:43

106

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Prove that the limit converges to $\gamma$

Published on 02 Jan 2023 - 22:47

192

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Euler's constant's role in the Prime numbers

Published on 26 Mar 2026 - 19:17

59

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Is this substitution valid?

Published on 05 Jan 2023 - 19:57

98

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Is it always true that $\sum\limits_{j=1}^n\frac{1}{j} > \int_1^{n+1} \frac{dt}t$?

Published on 25 Mar 2026 - 15:42

75

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Sum versus product on Primes

Published on 06 Jan 2023 - 16:43

67

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Given that $\lim_{z\rightarrow0}az-\frac{\ln z}{z!}=\gamma$, find the value of $a$ that gives the quickest convergence

Published on 12 Jan 2023 - 0:41

104

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Another strange limit which seems to converges to $\gamma$

Published on 21 Jan 2023 - 11:30

92

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Other closed forms of $\lim_{k\rightarrow\infty}\left(\sum_{i=0}^k\frac{1}{2i+1}-\sum_{i=1}^k\frac{1}{2i}\right)$

Published on 25 Jan 2023 - 1:56

List Question

Prove that $\lim_{x\rightarrow\infty}\sum_{k=0}^x\frac{1}{2k+1}-\sum_{k=1}^x\frac{1}{2k}$ converges

Integrals of the form $\int_0^1\left(\frac{1}{x+1}-\ln\left|\frac{x+1}{2}\right|-\ln\ln\left|\frac{x+1}{x-1}\right|\right)dx$

Approximations of Euler's constant using $\pi$

How to prove that $\lim_{k\rightarrow\infty} H_k-\log_b(x)$ converges/diverges?

Proof of $\int_0^1\ln\left(\frac{1}{\ln \frac{1}{x}}\right)dx=\gamma$

Prove that the limit converges to $\gamma$

Euler's constant's role in the Prime numbers

Is this substitution valid?

Is it always true that $\sum\limits_{j=1}^n\frac{1}{j} > \int_1^{n+1} \frac{dt}t$?

Sum versus product on Primes

Given that $\lim_{z\rightarrow0}az-\frac{\ln z}{z!}=\gamma$, find the value of $a$ that gives the quickest convergence

Another strange limit which seems to converges to $\gamma$

Other closed forms of $\lim_{k\rightarrow\infty}\left(\sum_{i=0}^k\frac{1}{2i+1}-\sum_{i=1}^k\frac{1}{2i}\right)$

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