Just started on Michael Spivaks Calculus, going fine so far, but generalizing to n always messes me up.
Homework Statement
prove that If 0≤x<y, then x^n<y^n, n=1,2,3,...
The Attempt at a Solution
I have managed to to prove that x^2<y^2. But I'm i don't quite get how to generalize to n...