1/2*1+1*2*3+1/3*4+………+1/99*100(191919/989898+190190/980980+19001900/98009800)/(19/98)*9898/1919

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/26 20:48:19
1/2*1+1*2*3+1/3*4+………+1/99*100(191919/989898+190190/980980+19001900/98009800)/(19/98)*9898/19191/2*1

1/2*1+1*2*3+1/3*4+………+1/99*100(191919/989898+190190/980980+19001900/98009800)/(19/98)*9898/1919
1/2*1+1*2*3+1/3*4+………+1/99*100
(191919/989898+190190/980980+19001900/98009800)/(19/98)*9898/1919

1/2*1+1*2*3+1/3*4+………+1/99*100(191919/989898+190190/980980+19001900/98009800)/(19/98)*9898/1919
1/2*1+1*2*3+1/3*4+………+1/99*100
=(1/1-1/2)+(1/2-1/3)+(1/3-1/4)+.+(1/99-1/100)
=1-1/100
=99/100