1/1*2+1/2*3+1/3*4+...+1/2000*1/2001=1/1*2+1/2*3+1/3*4+...+1/2000*1/20001=

来源：学生作业帮助网 编辑：作业帮 时间：2024/10/05 21:43:38
1/1*2+1/2*3+1/3*4+...+1/2000*1/2001=1/1*2+1/2*3+1/3*4+...+1/2000*1/20001=
x)372672Z&zzz 2%&H(ӈTR_`gC}':j9;;El Lf mQb8"8$ $ف 3D_

1/1*2+1/2*3+1/3*4+...+1/2000*1/2001=1/1*2+1/2*3+1/3*4+...+1/2000*1/20001=
1/1*2+1/2*3+1/3*4+...+1/2000*1/2001=
1/1*2+1/2*3+1/3*4+...+1/2000*1/20001=

1/1*2+1/2*3+1/3*4+...+1/2000*1/2001=1/1*2+1/2*3+1/3*4+...+1/2000*1/20001=
1/A*B=1/A-1/B
=1-1/2+1/2-1/3+...+1/2000-1/2001
=1-1/2001
=2000/2001