计算.(1-1/2)×(1-1/3)×(1-1/4)×…×(1-1/99)×(1-1/100)
问题描述:
计算.(1-
)×(1-1 2
)×(1-1 3
)×…×(1-1 4
)×(1-1 99
) 1 100
答
(1-
)×(1-1 2
)×(1-1 3
)×…×(1-1 4
)×(1-1 99
),1 100
=
×1 2
×2 3
×…×…3 4
×98 99
,99 100
=
.1 100