Question

I have a function f that is continuous on R and that satisfies f(x)=f(x+1). I have to show that the integral between 0 and 1 of f(x)/f(x+0.5) is bigger than 1

Answer 1

\[\int\limits_{0}^{1}\frac{ f(x) }{ f(x+0.5) }dx \ge1\]