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(1-1/4×(1-1/9)×(1-1/16)×...×(1-1/10000)怎么解
人气:144 ℃ 时间:2020-04-16 05:00:56
解答
(1-1/4)×(1-1/9)×(1-1/16)×...×(1-1/10000)=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)……(1-1/100)(1+1/100)=(1/2)(3/2)(2/3)(4/3)(3/4)(5/4)……(99/100)(101/100)=(1/2)*(101/100)=101/200中间项两两抵...
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