Constantes Notables

Código fuente LaTeX:

$\pi = 3,14159 26535 89793 23846 2643 \dots$
$ \displaystyle e = 2,71828 18284 59045 23536 0287 \dots =\lim_{n\to \infty}{\left(1+\dfrac{1}{n}\right)^{n}}$ $\quad = \text{base natural de logaritmos}$

$\sqrt{2} = 1,41421 35623 73095 0488 \dots$

$\sqrt{3} =1,73205 08075 68877 2935 \dots$

$\gamma = 0,57721 56649 01532 86060 6512 \dots = \displaystyle{ \lim_{n\to \infty} {\left(1+\dfrac{1}{2}}+\dfrac{1}{3}+\cdots +\dfrac{1}{n}-\ln{n}\right) } $ $ \quad =\text{Constante de Euler} $

$e^{\gamma} = 1,78107 24179 90197 9852 \dots$

$\sqrt{e}=1,64872 12707 00128 1468 \dots$

$\sqrt{\pi}=\Gamma \left( \frac{1}{2}\right) =1,77245 38509 05516 02729 8167 \dots$ $\text{donde } \Gamma \text{ es la función gamma}$

$\Gamma \left( \frac{1}{3}\right) = 2,67893 85347 07748\dots $

$\Gamma \left( \frac{1}{4}\right) = 3,62560 99082 21908 \dots $

$1 \text{ radian }= \dfrac{180^{\circ} }{\pi}=57,29577 95130 8232 …^{\circ}$

$1^{\circ}=\dfrac{\pi}{180}\text{radianes}=0,01745 32925 19943 29576 92 \dots \text{radianes} $