What are rational approximations to $e$ and Euler-Mascheroni constant $\gamma$ ?
(Like $ 22/7 , 355/113, ...$ are for $\pi.$)
(Number theory is not my cup of tea..). I wish to be able to learn if for every irrational number there exists an infinite set of progressively reducing error rational numbers as approximation and a procedure by which it is obtained.
Are continued fraction the fastest or the only method to obtain rational successive approximations to irrationals?