计算丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/14 18:04:34
计算丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨

计算丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨
计算丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨

计算丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨

丨1/2008-1/2009丨+丨1/2009-1/2010丨+丨1/2010-1/2011丨
=(1/2008-1/2009)+(1/2009-1/2010)+(1/2010-1/2011)
=1/2008+(1/2009-1/2009)+(1/2010-1/2010)-1/2011
=1/2008-1/2011
=3/4038088

因为1/2008>1/2009>1/2010>1/2011
所以1/2008-1/2009>0
1/2009-1/2010>0
1/2010-1/2011>0
所以原式=1/2008-1/2009+1/2009-1/2010+1/2010-1/2011
=1/2008-1/2011
=7.4292585996148 * 10 -7