List questions from euler-mascheroni-constant

121

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Which functions besides $\ln{x}$ make $ \lim \limits_{N \to \infty} \sum_{n=1}^N f'(n) -f(N) $ converge?

Published on 03 Feb 2023 - 22:01

143

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Expressions for $\sum_{k=1}^\infty\frac{(-1)^k}{k\cdot k!}$

Published on 10 Feb 2023 - 18:27

162

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How to show that $\frac{d}{dx}\sum_{n=1}^\infty\left(\frac xn-\ln\left(1+\frac xn\right)\right)=H_x$

Published on 06 Mar 2023 - 1:31

40

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Creating an inequality for the numerator significance

Published on 10 Mar 2023 - 19:37

237

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Evaluate the definite integral $\int_0^\infty \frac{W{(x)}}{xe^x}\,dx$

Published on 18 Mar 2023 - 21:35

172

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How can I evaluate this infinite sum?

Published on 05 Apr 2023 - 22:29

150

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Does this mean that Euler's constant diverges?

Published on 07 Apr 2023 - 3:24

73

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Two curious related sums on $\gamma$ and $\ln2$

Published on 23 Apr 2023 - 15:49

122

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How to calculate $\lim\limits_{y\to+\infty}\left(\int_0^y\frac{\sin^4 x}{x}{\rm d}x-\frac38\ln y\right)$

Published on 05 May 2023 - 5:39

81

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Euler's constant conundrum

Published on 10 May 2023 - 20:33

195

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Upper bound euler constant

Published on 18 May 2023 - 17:32

136

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Riemann Zeta function's behavior near the pole and Euler-Mascheroni constant

Published on 22 Jun 2023 - 13:56

109

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Integral of $\operatorname{Si}(x)/(x(x^2+1))$ from $0$ to infinity

Published on 07 Jul 2023 - 6:31

359

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Criteria for irrationality of Euler's constant

Published on 07 Sep 2023 - 14:45

218

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Asymptotic analysis of $e^{H_n}$

Published on 22 Oct 2023 - 13:01

List Question

Which functions besides $\ln{x}$ make $ \lim \limits_{N \to \infty} \sum_{n=1}^N f'(n) -f(N) $ converge?

Expressions for $\sum_{k=1}^\infty\frac{(-1)^k}{k\cdot k!}$

How to show that $\frac{d}{dx}\sum_{n=1}^\infty\left(\frac xn-\ln\left(1+\frac xn\right)\right)=H_x$

Creating an inequality for the numerator significance

Evaluate the definite integral $\int_0^\infty \frac{W{(x)}}{xe^x}\,dx$

How can I evaluate this infinite sum?

Does this mean that Euler's constant diverges?

Two curious related sums on $\gamma$ and $\ln2$

How to calculate $\lim\limits_{y\to+\infty}\left(\int_0^y\frac{\sin^4 x}{x}{\rm d}x-\frac38\ln y\right)$

Euler's constant conundrum

Upper bound euler constant

Riemann Zeta function's behavior near the pole and Euler-Mascheroni constant

Integral of $\operatorname{Si}(x)/(x(x^2+1))$ from $0$ to infinity

Criteria for irrationality of Euler's constant

Asymptotic analysis of $e^{H_n}$

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