1. ## Liouville Numbers

Hi,

I am trying to prove that e and $\pi$ are not Liouville numbers using Continued Fractions, does anybody know an easy argument of doing this...

And does any body have an easy way of showing that Liouville Numbers form a strict subset of Transcendental Number

I know that Any Liouville number must have unbounded partial quotients in its continued fraction expansion. However anybody of a transcendental number that has bounded partial quotients.

Links to Resources on these will be appreciated.

Thank You