EDB — 150

Exercises

1. [150] Let be given a function \(g:[0,∞)→ [0,∞]\) such that \(g(0)=0\) and \(\lim _{x→ 0+}g(x)=0\); then there exists a continuous and monotonic function \(f:[0,∞)→ [0,∞]\) such that \(f(0)=0\), \(\lim _{x→ 0+}f(x)=0\), and \(f≥ g\).