(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×(1+1/4)×(1-1/4)×…×(1+1/99)×(1-1/99)×(1+1/100)×(1-1/100)

问题描述:

(1+

1
2
)×(1-
1
2
)×(1+
1
3
)×(1-
1
3
)×(1+
1
4
)×(1-
1
4
)×…×(1+
1
99
)×(1-
1
99
)×(1+
1
100
)×(1-
1
100

(1+12)×(1-12)×(1+13)×(1-13)×(1+14)×(1-14)×…×(1+199)×(1-199)×(1+1100)×(1-1100),=(1-12)×[(1+12)×(1-13)]×[(1+13)×(1-14)]×…×[(1+199)×(1-1100)]×(1+11...