正确结果等于多少?(1+1/2)*(1+1/3)*(1+1/4)......*(1+1/100)除以(1-1/2)*(1

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  • (1+1/2)*(1+1/3)*(1+1/4)......*(1+1/100)

    =3/2*4/3*5/4*6/5*...*101/100

    =101/2

    (1-1/2)*(1-1/3)*(1-1/4)......*(1-1/100)

    =1/2*2/3*3/4*4/3*.*99/100

    =1/100

    所以(1+1/2)*(1+1/3)*(1+1/4)......*(1+1/100)除以

    (1-1/2)*(1-1/3)*(1-1/4)......*(1-1/100)

    =101/2/(1/100)

    =101/2*100

    =5050