1. The problem statement, all variables and given/known data I need some more random, cool math tricks to bust out when I want to sound smart. So teach me how to do the following in the fanciest way possible. Prove πe>eπ (knowing that π > e) ∫e-x2dx on interval (-∞,∞) Prove 0!=1. 2. Relevant equations ? 3. The attempt at a solution I remember being shown each of these a while ago, but I've now forgotten how to do them.