## Prove that e is an irrational number!�ee is is an irrational number!

a) Show that if a/b and b/c are two different fractions then |a/c - b/c| > 1/c must always be true

b) Show that e = 1+1+1/2+1/6+...1/k!+Rk where |Rk|<e/(k+1)!

c) Show that if e=p/q where p and q are integers then you can reach a contradiction of the
result in a).