=>( y - 1/2 )+( y - 1/6 )+...+( y- 1/90 ) = 1
=>y + y+.. + y - 1/2 - 1/6-...- 1/90 = 1
=>y + y+..+ y - 1/(1x2) - 1/(2x3) - 1/(3x4)-...- 1/(9x10) = 1
=> 9y -( 2-1)/(1x2) - (3-2)/(2x3)-...- (10-9)/(9x10) = 1
=>9y- 2/(1x2) + 1(1x2) - 3/(2x3) + 2/(2x3)-...- 10/(9x10) + 9(9x10) = 1
=> 9y- 1 + 1/2 - 1/2 + 1/3-...- 1/9 + 1/10 = 1
=>9y- 1 + 1/10 = 1
=> 9y- 9/10 =1
=>y=19/90
Vậy y=19/90