|1/2-1|+|1/3-1/2|+1/4-1/3|+...|1/2009-1/2008|+|1/2010-1/2009
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/14 23:16:48
|1/2-1|+|1/3-1/2|+1/4-1/3|+...|1/2009-1/2008|+|1/2010-1/2009|=?
![|1/2-1|+|1/3-1/2|+1/4-1/3|+...|1/2009-1/2008|+|1/2010-1/2009](/uploads/image/z/12153929-41-9.jpg?t=%EF%BD%9C1%2F2-1%EF%BD%9C%2B%EF%BD%9C1%2F3-1%2F2%EF%BD%9C%2B1%2F4-1%2F3%EF%BD%9C%2B...%EF%BD%9C1%2F2009-1%2F2008%EF%BD%9C%2B%EF%BD%9C1%2F2010-1%2F2009)
原式=I1-1/2I+I1/2-1/3I+I1/3-1/4I+...I1/2009-1/2010I
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=2009/2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=2009/2010
|1/2-1|+|1/3-1/2|+1/4-1/3|+...|1/2009-1/2008|+|1/2010-1/2009
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)
|1/2011-1/2010|+|1/2011-1/2009|+|1/2009-1/2008|+...+|1/3-1/2
(1/2010*1/2009*1/2008*...*1/3*1/2*1)^2011*(2010*2009*2008*..
"1*2/1+2*3/1+3*4/1+.+2007*2008/1+2008*2009/1+2009*2010/1"这道题
计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2009-1/2008|
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+.+(-1/2008*1/2009)+(-1/2009*1
(1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010)
计算1/1*2010+1/2*2009+1/3*2008+...+1/2010*1-2010/2011(1/1*2009
计算|1/2011-1/2010|+|1/2010-1/2009||+|1/2009-1/2008|…+|1/3-1/2
(-1*1/2) (-1/2*1/3) (-1/3*1/4) .(-1/2009*1/2010) (-1/2010*1/
(1\2010-1)*(1\2009-1)*(1\2008-1)*.*(1\3-1)*(1\2-1) 请求出这到题目,