(1/2+1/3+...+1/1997)×(1-1/2-1/3...-1/1996)-(1-1/2-1/3-...-1/1997)×(1/2+1/3+...+1/1996)=如题
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/30 07:49:03
![(1/2+1/3+...+1/1997)×(1-1/2-1/3...-1/1996)-(1-1/2-1/3-...-1/1997)×(1/2+1/3+...+1/1996)=如题](/uploads/image/z/5904153-9-3.jpg?t=%281%2F2%2B1%2F3%2B...%2B1%2F1997%29%C3%97%281-1%2F2-1%2F3...-1%2F1996%29-%281-1%2F2-1%2F3-...-1%2F1997%29%C3%97%281%2F2%2B1%2F3%2B...%2B1%2F1996%29%3D%E5%A6%82%E9%A2%98)
(1/2+1/3+...+1/1997)×(1-1/2-1/3...-1/1996)-(1-1/2-1/3-...-1/1997)×(1/2+1/3+...+1/1996)=如题
(1/2+1/3+...+1/1997)×(1-1/2-1/3...-1/1996)-(1-1/2-1/3-...-1/1997)×(1/2+1/3+...+1/1996)=
如题
(1/2+1/3+...+1/1997)×(1-1/2-1/3...-1/1996)-(1-1/2-1/3-...-1/1997)×(1/2+1/3+...+1/1996)=如题
把1/2+1/3+...+1/1996看成是A,则原式=(A+1/1997)(1-A)-(1-A-1/1997)(A)=1/1997.