作业帮1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/16 14:42:54
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110=?
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+1/110 =1/(1X2)+1/(2X3)+1/(3X4)+1/(4X5)+1/(5X6)+1/(6X7)+1/(7X8)+1/(8X9)+1/(9X10)+1/(10X11) =(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+···+（1/10-1/11) =1-1/11 =10/11