(-1*1/2) (-1/2*1/3) (-1/3*1/4) .(-1/2009*1/2010) (-1/2010*1/
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/05/09 12:53:59
(-1*1/2) (-1/2*1/3) (-1/3*1/4) .(-1/2009*1/2010) (-1/2010*1/2011)
(-1*1/2) (-1/2*1/3) (-1/3*1/4) .(-1/2009*1/2010) (-1/2010*1/2011)
因为因数的个数为偶数,则积为正数
=(1*1/2) (1/2*1/3) (1/3*1/4) .(1/2009*1/2010) (1/2010*1/2011)
= 1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011】
= 1-1/2011
= 2010/2011
因为因数的个数为偶数,则积为正数
=(1*1/2) (1/2*1/3) (1/3*1/4) .(1/2009*1/2010) (1/2010*1/2011)
= 1-1/2+1/2-1/3+1/3-1/4+……+1/2010-1/2011】
= 1-1/2011
= 2010/2011
(1-1/2)(1/3-1)(1-1/4)(1/5-1)``````(1/2009)(11/2010)
(-1*1/2) (-1/2*1/3) (-1/3*1/4) .(-1/2009*1/2010) (-1/2010*1/
|1/2-1|+|1/3-1/2|+1/4-1/3|+...|1/2009-1/2008|+|1/2010-1/2009
计算(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^
(2011/1-1)(2010/1-1)(2009/1-1)…(3/1-1)(2/1-1)
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)
-1+2-3+4...-99+100 1/1×2+1/2×3+1/3×4+...+1/2009×2010+1/2010×
|1/2011-1/2010|+|1/2011-1/2009|+|1/2009-1/2008|+...+|1/3-1/2
(1-1/2-1/3-...-1/2009)(1/2+1/3+1/4...+1/2010)-(1-1/2-1/3-...
|1/3-1/2|+|1/4-1/3|+...+|1/2010-1/2009|
(1/2010*1/2009*1/2008*...*1/3*1/2*1)^2011*(2010*2009*2008*..
(1/2011*1/2010*1/2009*...1/3*1/2*1)∧2011*(2011*2010*2009*...