Recent content by FreeGamer

By that I mean the values of f(x) must be between 0 and 1 for all x, sorry if i confused u a bit. Thanks! I think Prof mentioned something about it but never seriously discussed about it. I think I should be able to prove the differentiability either myself or with help on the wiki site.

Homework Statement Construct a function that is infinitely differentiable, f(x) in [0,1] for all x, and f(x)=1 for -1<x<1, f(x)=0 for |x|>2. Homework Equations None. The Attempt at a Solution I thought of doing it using a Fourier series for a square wave, in the way that f(x)=1...