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N为大于2的自然数,问(1+1/3)*(1+1/5)*(1+1/7)*.*(1+1/2N-1)》根号2N-1/4
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人气:378 ℃ 时间:2019-08-17 22:58:06
解答
设A(1+1/3)*(1+1/5)*(1+1/7)*.*(1+1/2N-1)=4/3*6/5.2n/2n-1B=5/4*7/6.2n+1/2n则A*B=2n+1/3∵2n/2n-1>2n+1'2n∴A>B,A^2>AB∴A^2>2n+1/3>2n+1/4>2n-1/4∴A>根号2N-1/4即(1+1/3)*(1+1/5)*(1+1/7)*.*(1+1/2...
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