EDB — 1C4

Exercises

1. [1C4]Difficulty:*.Suppose that \(f:(0,1)→(0,∞)\) is continuous and decreasing and \(∫_ 0^ 1 f(t)\, {\mathbb {d}}t{\lt}∞\) then \(\lim _{r→ 0}r f(r)=0\).