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

(1-

1
2
)×(1-
1
3
)×(1-
1
4
)×…×(1-
1
99
)×(1-
1
100
),
=
1
2
×
2
3
×
3
4
×…×…
98
99
×
99
100

=
1
100