问题
解答题
试判断(1-
|
答案
原式=(1-
)(1+1 2
)(1-1 2
)(1+1 3
)(1-1 3
)(1+1 4
)…(1-1 4
)(1+1 n
)1 n
=
×1 2
×3 2
×2 3
×4 3
×3 4
×…×5 4
×n-1 n n+1 n
=n+1 2n
=
+1 2
>1 2n
.1 2
试判断(1-
|
原式=(1-
)(1+1 2
)(1-1 2
)(1+1 3
)(1-1 3
)(1+1 4
)…(1-1 4
)(1+1 n
)1 n
=
×1 2
×3 2
×2 3
×4 3
×3 4
×…×5 4
×n-1 n n+1 n
=n+1 2n
=
+1 2
>1 2n
.1 2