User:A 12365/sandbox

I like these math transcendental constants
1.$\pi=\frac{C}{d}=3.1415926535...$ 2.$e=\lim_{n \to \infty} \left(\left(1+\frac{1}{n}\right)^n\right)=\sum_{k=0}^\infty \left(\frac{1}{k!}\right)=2.7182818284...$ 3.$\gamma=\lim_{n \to \infty}\left(\sum_{k=1}^n \left(\frac{1}{k}\right)-\ln(n)\right)=\int_{1}^{\infty} \frac{1}{\left\lfloor x\right\rfloor}-\frac{1}{x}\,dx=0.5772156649...$ 4.$C=\sum_{k=0}^\infty \left(\frac{\left(-1\right)^k}{\left(2k+1\right)^2}\right)=0.9159655941...$ 5.$G=\frac{1}{\operatorname{agm}\left(1,\sqrt{2}\right)}=0.8346268417...$ 6.$\zeta (3)=\sum_{k=1}^\infty \left(\frac{1}{k^3}\right)=1.2020569031...$ 7.$\ln \left(2\right)=\log_{e} 2=\lim_{n \to \infty} \left(n\left(\sqrt[n]{2}-1\right)\right)=0.6931471805...$ 8.$\Omega=\operatorname{W}\left(1\right)=0.5671432904...$ 9.$\delta=\lim_{n \to \infty}\left(\frac{a_{n-1}-a_{n-2}}{a_{n}-a_{n-1}}\right)=4.6692016091...$ 10.$K_0=\prod_{r=1}^\infty \left({\left( 1+{1\over r\left(r+2\right)}\right)}^{\log_2 \left(r\right)}\right)=2.6854520010...$

11.$\alpha=\lim_{n \to\infty} \left(\frac{d_{n}}{d_{n+1}}\right)=2.502907875...$ 12.$\text {£}_{Li}=\sum_{k=1}^\infty \left(\frac{1}{10^{k!}}\right)=0.1100010000...$ 13.$\Omega=\sum_{p\in P_F} \left(2^{-\left\vert p\right\vert}\right)=0.0078749969...$ 14.$e^\pi=\sum_{k=0}^\infty \left(\frac{\pi^n}{n!}\right)=23.1406926327...$ 15.$C_{10}=0.1234567891...$ 16.$2^{\sqrt{2}}=2.6651441426...$ 17.$$i^i=e^{-\frac{\pi}{2}}=0.2078795763...$$ 18.$\varpi=\pi G=2.6220575542...$ 19.$\tau=1-\frac{1}{e}=0.6321205588...$ 20.$b=(3-\sqrt{5})\pi=2.3999632297...$

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