Завдання 501 - 600 » 541

Знайдіть значення виразу: 1) □(3/(1/3 + 1) - 2)/(1- 3/4) = □(3/(4/3) - 2)/(1/4) = (3 • 3/4 - 2)/(1/4) = (9/4 - 8/4)/(1/4) = (1/4)/(1/4) = 1; 2) 1 + 1/(1+ 1/(1+ 1/(1+ 1/2))) = 1 + 1/(1+ 1/(1+ 1/(3/2))) = 1 + 1/(1+ 1/(1+ 2/3)) = 1 + 1/(1+ 1/(5/3)) = 1 + 1/(1+ 3/5) = 1 + 1/(8/5) = 1 + 5/8 = 15/8; 3) 2 – 1/(2 - 1/(2 - 1/(2 - 1/2))) = 2 – 1/(2 - 1/(2 - 1/(3/2))) = 2 – 1/(2 - 1/(2 - 2/3)) = 2 – 1/(2 - 1/(4/3)) = 2 – 1/(2 - 3/4) = 2 – 1/(5/4) = 2 – 4/5 = 6/5 = 11/5.