Question

Repede am nevoie, mersi anticipat

Answer 1

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