1/2=1-1/21/6=1/2-1/31/12=1/3-1/4………………1/9702=1/98-1/991/9900=1/99-1/100所以1/2+1/6+1/12+……+1/9702+1/9900=1-1/2+1/2-1/3+1/3-1/4+……+1/98-1/99+1/99-1/100=1-1/100=99/100
