(1-1/2)×(1-1/3)×(1-1/4)×….×(1-1/100) Tính ? 03/09/2021 Bởi Maya (1-1/2)×(1-1/3)×(1-1/4)×….×(1-1/100) Tính ?
(1-1/2)*(1-1/2)*…(1-100) 1-1/3=2/3 1-1/4=3/4 ………………………. 1-1/100=99/100 =1/2*2/3*3/4*….99/100 (1*2*3*4*….*99)/(2*3*4*…*100) =1/100 =>1/100 Bình luận
(1-1/2)×(1-1/3)×(1-1/4)×….×(1-1/100) =(2/2-1/2)x(3/3-1/3)x…x(100/100-1/100) =1/2×2/3x…x99/100 =1/100 Bình luận
(1-1/2)*(1-1/2)*…(1-100)
1-1/3=2/3
1-1/4=3/4
……………………….
1-1/100=99/100
=1/2*2/3*3/4*….99/100
(1*2*3*4*….*99)/(2*3*4*…*100)
=1/100
=>1/100
(1-1/2)×(1-1/3)×(1-1/4)×….×(1-1/100)
=(2/2-1/2)x(3/3-1/3)x…x(100/100-1/100)
=1/2×2/3x…x99/100
=1/100