(1/2011-1)*(1/2010-1)*(1/2009-1)...(1/3-1)*(1/2-1)
=(1-1/2011)*(1-1/2010)*(1-1/2009)*.(1-1/3)*(1-1/2)
=(2010/2011)*(2009/2010)*.(2/3)*(1/2)
=1/2011
如有不明白,
(1/2011-1)*(1/2010-1)*(1/2009-1)...(1/3-1)*(1/2-1)
=(1-1/2011)*(1-1/2010)*(1-1/2009)*.(1-1/3)*(1-1/2)
=(2010/2011)*(2009/2010)*.(2/3)*(1/2)
=1/2011
如有不明白,