1/12+1/2+3+1/34+1/45+……+1/199200

来源：学生作业帮助网编辑：六六作业网时间：2024/11/26 10:35:10

1/1*2+1/2+3+1/3*4+1/4*5+……+1/199*2001/1*2+1/2+3+1/3*4+1/4*5+……+1/199*2001/1*2+1/2+3+1/3*4+1/4*5+……+1

1/1*2+1/2+3+1/3*4+1/4*5+……+1/199*200
1/1*2+1/2+3+1/3*4+1/4*5+……+1/199*200

1/1*2+1/2+3+1/3*4+1/4*5+……+1/199*200
=1-1/2+1/2-1/3+1/3-1/4+……+1/199-1/200
=1-1/200
=199/200