(1/2012-1)×(1/2011-1)×(1/2010-1)×…×(1/2000-1)
问题描述:
(1/2012-1)×(1/2011-1)×(1/2010-1)×…×(1/2000-1)
答
(1/2012-1)×(1/2011-1)×(1/2010-1)×…×(1/2000-1)
=(-2011/2012)(-2010/2011)(-2009/2010)(-2008/2009)(-2007/2008)(-2006/2007)(-2005/2006)(-2004/2005)(-2003/2004)(-2002/2003)(-2001/2002)(-2000/2001)(-1999/2000)
=-1999/2012