(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1+1/8)*...*(1-1/18)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/30 19:30:28
![(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1+1/8)*...*(1-1/18)](/uploads/image/z/5452923-3-3.jpg?t=%281%2B1%5C3%29%2A%281%2B1%5C5%29%2A%281%2B1%5C7%29%2A...%2A%281%2B1%5C17%29%2A%281-1%2F4%29%2A%281-1%2F6%29%2A%281%2B1%2F8%29%2A...%2A%281-1%2F18%29)
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(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1+1/8)*...*(1-1/18)
(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1+1/8)*...*(1-1/18)
(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1+1/8)*...*(1-1/18)
(1+1\3)*(1+1\5)*(1+1\7)*...*(1+1\17)*(1-1/4)*(1-1/6)*(1-1/8)*...*(1-1/18)
=4/3*6/5*8/7*...*18/17*3/4*5/6*7/8*...*17/18
=4/3*3/4*6/5*5/6*8/7*7/8*...*18/17*17/18
=1
1