问题 解答题
计算:(1-
1
2
)(1-
1
3
)(1-
1
4
)(1-
1
5
)(1-
1
6
)
(1-
1
7
)(1-
1
8
)
=______.
答案

(1-

1
2
)(1-
1
3
)(1-
1
4
)(1-
1
5
)(1-
1
6
)(1-
1
7
)(1-
1
8
),

=

1
2
×
2
3
×
3
4
×
4
5
×
5
6
×
6
7
×
7
8

=

1
8

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