Question

Let f(0) = 0 and f'(0) = 1. For a positive integer k, show that lim_(x→0) 1/x(f(x) + f(x/2) + f(x/2) + .... f(x/k)) = 1 + 1/2 + 1/3 + ... + 1/k

Answer 1

= 1 + 1/2 + .... + 1/k