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发帖数: 9279 | 1 lim_{n->infinity} [ 1 - Product_{i=1 to n}( 1-a/i ) ]， a in (0,1)
能证明他的极限存在并且是1吗？ | Q***5
发帖数: 994 | 2 Yes.
Take log of the product part, and notice that log(1-a/i) has the same order
as -a/i, and the summation of which tends to negative infinity. |
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