(1-1/2*2)*(1-1/3*3)*…...*(1-1/10*10)=?
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![(1-1/2*2)*(1-1/3*3)*…...*(1-1/10*10)=?](/uploads/image/z/8625122-26-2.jpg?t=%281-1%2F2%2A2%29%2A%281-1%2F3%2A3%29%2A%E2%80%A6...%2A%281-1%2F10%2A10%29%3D%3F)
(1-1/2*2)*(1-1/3*3)*…...*(1-1/10*10)=?
(1-1/2*2)*(1-1/3*3)*…...*(1-1/10*10)=?
(1-1/2*2)*(1-1/3*3)*…...*(1-1/10*10)=?
1-1/2*2=1/2*3/2 1-1/3*3=2/3*4/3 1-1/4*4=3/4*5/4 以此类推,发现总能约分,最后只剩下1/2*11/10=11/20