|||
用向前-向后数学归纳法证明: 设 $0<x_i\leq\frac{1}{2},\ i=1,2,\cdots,n$, 则
[frac{prod_{i=1}^n x_i}{left(sum_{i=1}^n x_iright)^n}leq
frac{prod_{i=1}^n (1-x_i)}{left[sum_{i=1}^n (1-x_i)right]^n}.]
樊畿介绍: http://baike.baidu.com/view/1945945.htm
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