一共2008项,乘积为正
(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/3-1)*(1/2-1)
=(1-1/2)*(1-1/3)*...*(1-1/2008)*(1-1/2009)
=1/2*2/3*3/4*...*2007/2008*2008/2009
=1/2009
(1/2009-1)*(1/2008-1)*(1/2007-1)*……*(1/3-1)*(1/2-1)
1个回答
相关问题
-
|1/2009-1/2008|-|1/2008-1/2007| =1/2008-1/2009-1/2007+1/2008
-
1/(√2009+√2008)+1/(√2008+√2007)+.+1/(√3+√2)+1/(√2+1)
-
|1/2009-1/2008|+|1/2008-1/2007|+……+|1/3-1/2|+|1/2-1|=?
-
(1+1/2007+1/2008)*(1/2007+1/2008+1/2009)-(1+1/2007+1/2008+1/
-
1/1*2+1/2*3+1/3*4+...+1/2007*2008+1/2008*2009
-
-(1／2009－1/2008)＋[-(1/2008-1/2007)]＋┈＋[-(1/2－1)]
-
化简：|1/2010-1/2009|+|1/2009-1/2008|+|1/2008-1/2007|-|1/2007-1
-
(1-1/2009)(1-1/2008)(1-1/2007)……（1-1/3）（1-1/2）
-
计算:|1/2-1|+|1/3-1/2|+|1/4-1/3|+...+|1/2008-1/2007|+|1/2009-1