List questions from euler-mascheroni-constant

Published on 14 Sep 2017 - 6:32

105

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Shorter method to derive the same result?

Published on 15 Sep 2017 - 14:56

42

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What is the simplification of $ {e^2}^n $?

Published on 19 Sep 2017 - 3:18

1.4k

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How to solve $e^z=2\sqrt3 - 2i$

Published on 23 Sep 2017 - 8:38

144

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I have to find $\arg(z)$ of $5e^{-i\frac{3\pi}2}$

Published on 23 Sep 2017 - 15:17

202

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How to prove that $e^{\gamma}={e^{H_{x-1}}\over x}\prod_{n=0}^{\infty}\cdots?$

Published on 24 Sep 2017 - 20:26

236

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Evaluate the limit (Possible relation to Euler's constant?)

Published on 06 Oct 2017 - 6:24

510

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Prove that ${e\over {\pi}}\lt{1\over {2\gamma}}$ without using a calculator.

Published on 13 Oct 2017 - 14:47

354

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Integral $\int_0^{\infty} \log(x)^2 e^{-x} \, \mathrm{d}x$

Published on 14 Oct 2017 - 1:59

49

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Two-variable limit with euler's constant

Published on 17 Oct 2017 - 14:06

132

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Evaluating $~\sum\limits_{n>0}H(e^n)-n-\gamma~$ in Closed Form

Published on 26 Oct 2017 - 2:12

116

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How does one show that $\lim_{x\rightarrow\infty}\left(1+\frac{1}{x}\right)^x$ converges?

Published on 31 Oct 2017 - 11:49

396

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Prove using complex numbers $e^{(x+y)} = e^x e^y$ for all $x,y$ complex.

Published on 09 Nov 2017 - 4:23

125

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Proof? of the limit$ \lim_{n \to \infty}(1+\frac{1}{n})^{n} = e $

Published on 24 Nov 2017 - 21:24

861

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$i^i \approx 1/5$ or what is it?

Published on 15 Dec 2017 - 17:18

List Question

An integral representation of Euler's constant $\gamma$

Shorter method to derive the same result?

What is the simplification of $ {e^2}^n $?

How to solve $e^z=2\sqrt3 - 2i$

I have to find $\arg(z)$ of $5e^{-i\frac{3\pi}2}$

How to prove that $e^{\gamma}={e^{H_{x-1}}\over x}\prod_{n=0}^{\infty}\cdots?$

Evaluate the limit (Possible relation to Euler's constant?)

Prove that ${e\over {\pi}}\lt{1\over {2\gamma}}$ without using a calculator.

Integral $\int_0^{\infty} \log(x)^2 e^{-x} \, \mathrm{d}x$

Two-variable limit with euler's constant

Evaluating $~\sum\limits_{n>0}H(e^n)-n-\gamma~$ in Closed Form

How does one show that $\lim_{x\rightarrow\infty}\left(1+\frac{1}{x}\right)^x$ converges?

Prove using complex numbers $e^{(x+y)} = e^x e^y$ for all $x,y$ complex.

Proof? of the limit$ \lim_{n \to \infty}(1+\frac{1}{n})^{n} = e $

$i^i \approx 1/5$ or what is it?

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