Recent content by jimmybonkers

I am specifically asked to prove it by induction

let C0 be the set of continuous functions f : R -> R. For n >= 1, let Cn denote theset of functions f : R -> R such that f is differentiable and such that f' is contained in C(n-1). (Therefore Cn is the set of functions whose derivatives f',f'',f''',...,f^(n) up to the nth order exist and are...