All Questions

We can define a Khinchin Real and recall the definition of Khinchin's Constant A real number $r$ is a Khinchin real if given the simple continued fraction expansion of $r$ as $$ r = a_0 + \cfrac{1}{...

It is known that at $x=1$, the following continued fraction represents $\frac{4}{\pi}$ and can be approximated rapidly using Gauss' Arithmetic Geometric mean. $$C(x) = x + \frac{1^{2}}{2x + \frac{3^{...