"Bizarre" continued fraction of Ramanujan! But where's the proof? 
$$\frac{e^\pi-1}{e^\pi+1}=\cfrac\pi{2+\cfrac{\pi^2}{6+\cfrac{\pi^2}{10+\cfrac{\pi^2}{14+...}}}}$$

"Bizarre" continued fraction of Ramanujan! But where's the proof? i have no training in continued fractions so i have no idea how to attempt to prove it.

The left hand side is  $ \tanh \frac{\pi}{2} $ so it may be worth looking at a continued fraction for $ \tanh x $. It looks like a special case of Gauss's continued fraction (I can't link to it directly but there is a Wikipedia page on it). Also, Ramanujan is not mentioned.
