(1+1/2+1/3+1/4+1/5)(1/3+1/4+1)-(1+1/3+1/4)(1/2+1/3+1/4+1/5

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/09 02:19:56

(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)

设 1/2+1/3+1/4+1/5 = A
(1+1/3+1/4) = B
(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)
= 1 * B + A * B - B * A
= 1 * B
= (1+1/3+1/4)
= 19/12

(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5 /1/3-1/2/+/1/4-1/3/+/1/5-1/4/+.+/1/10-1/9/ 简算：（1＋1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/ -1/2,+1/3,-1/4,+1/5,-1/6,. 提问题(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)×(1+1/2+1/ (1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*(1+1/4)*(1-1/4)*(1+1/5)*(1-1 (1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010) 2*1 1/2*1 1/3*1 1/4*1 1/5*.1 1/2006*1 1/2007 (-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+(-1/4*1/5)+""+(-1/2005*1/2006 | 1/3 - 1/2 | + | 1/4 - 1/3 | + | 1/5 - 1/4 | …… + | 1/2009 计算（1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2013-1)(1-1/2014) 计算 ( 1+1/2)*(1-1/3)*（1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001）