(1/2+1)(1/2-1)(1/3+1)(1/3-1).(1/99+1)(1/99-1)=?今天就要答案,

(1/2+1)(1/2-1)(1/3+1)(1/3-1).(1/99+1)(1/99-1)=?今天就要答案,
(1/2+1)(1/2-1)(1/3+1)(1/3-1).(1/99+1)(1/99-1)=?今天就要答案,

(1/2+1)(1/2-1)(1/3+1)(1/3-1).(1/99+1)(1/99-1)=?今天就要答案,
=1/2*3/2*2/3*4/3*3/4*5/4*4/5*6/5*.*98/99*100/99
=1/2*100/99
=50/99

(1/2+1)(1/2-1)(1/3+1)(1/3-1)*......*(1/99+1)(1/99-1)
=(3/2)*(-1/2)*(4/3)*(-2/3)*......*(100/99)*(-98/99)
=[(3/2)*(4/3)*(5/4)*......*(100/99)]*[(-1/2)*(-2/3)*(-3/4)*......*(-98/99)]
=(100/2)*(-1/100)
=-1/2
注意：共有99个-1