简算:1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + …… + 1/(99*100)是 1×2

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 07:22:24
简算:1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+……+1/(99*100)是1×2简算:1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*

简算:1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + …… + 1/(99*100)是 1×2
简算:
1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + …… + 1/(99*100)
是 1×2

简算:1/(1*2) + 1/(2*3) + 1/(3*4) + 1/(4*5) + 1/(5*6) + …… + 1/(99*100)是 1×2
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+.+1/98-1/99+1/99-1/100
=1-1/100
=99/100