(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?_数学解答

(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100)=?

人气：390 ℃　时间：2020-04-22 07:22:29

解答

(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+...(1/99-1/100）
=1/10-1/11+1/11-1/12+1/12-1/13+……+1/99-1/100
=1/10-1/100
=9/100