(1/2+1/3+...+1/2009)(1+1/2...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...+1/2008)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/28 00:32:50
(1/2+1/3+...+1/2009)(1+1/2...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...+1/2008)
x)0767F \BS"]MR>u /c1P1F M]t1*t@un jmv 0/.H̳,&6fK

(1/2+1/3+...+1/2009)(1+1/2...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...+1/2008)
(1/2+1/3+...+1/2009)(1+1/2...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...+1/2008)

(1/2+1/3+...+1/2009)(1+1/2...+1/2008)-(1+1/2+...+1/2009)(1/2+1/3+...+1/2008)
(1\2+1\3+...+1\2009)(1+1\2+...+1\2008) -(1+1\2+...+1\2009)(1\2+1\3+...+1\2008) =(1\2+1\3+...+1\2009)+(1\2+1\3+...+1\2009)(1\2+...+1\2008) -(1\2+1\3+...+1\2008)-(1\2+...+1\2009)(1\2+1\3+...+1\2008) =(1\2+1\3+...+1\2009) - (1\2+1\3+...+1\2008) = 1/2009