(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+
)×(1-1 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
)1 100
答
(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...