(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：2024/05/16 01:58:13
(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)
(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