|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|急

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 09:10:30
|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|急
x)1745 !mTak 

|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|急
|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|

|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|急
|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|
=1/10-1/11+1/11-1/12+…+1/19-1/20
=1/10-1/20
=1/20

解:因为1/n-1/(n+1)>0
所以原式=1/10-1/11+......+1/19-1/20=1/10-1/20=1/20

|1/10-1/11|+|1/11-1/12|+…|1/19-1/20|
=(1/10)-(1/11)+(1/11)-(1/12)+....+(1/19)-(1/20)
=(1/10)-(1/20)
=1/20