Răspuns:
x = 1
Explicație pas cu pas:
x(1 + 1/2 + 1/3 + 1/4 + ... + 1/2019) = 2019 - 1/2 - 2/3 - 3/4 - ... - 2018/2019
= 1 + (1 - 1/2) + (1 - 2/3) + (1 - 3/4) + ... + (1 - 2018/2019)
x(1 + 1/2 + 1/3 + 1/4 + ... + 1/2019) = 1 + 1/2 + 1/3 + 1/4 + .... + 1/2019)
=> x = 1
