(1-1/2009)(1-1/2008)(1-1/2007)……(1-1/3)(1-1/2)求过程及答案
问题描述:
(1-1/2009)(1-1/2008)(1-1/2007)……(1-1/3)(1-1/2)
求过程及答案
答
2008
(1-1/2009)=------
2009
2007
(1-1/2008)=------
2008
...
2
(1-1/3) = -----
3
1
(1-1/2) = -----
2
所以
(1-1/2009)(1-1/2008)(1-1/2007)……(1-1/3)(1-1/2)
2008 2007 2006 2 1
= ---- ---- ---- ...--- ---
2009 2008 2007 3 2
挫项相消
1
= ----
2009