1/2008减1/2007的绝对值加1/2009减1/2008的绝对值加1/2010减1/2009的绝对值减1/2010减1/2007的绝对值
问题描述:
1/2008减1/2007的绝对值加1/2009减1/2008的绝对值加1/2010减1/2009的绝对值减1/2010减1/2007的绝对值
答
1/2008减1/2007的绝对值加1/2009减1/2008的绝对值加1/2010减1/2009的绝对值减1/2010减1/2007的绝对值
=(1/2007-1/2008)+(1/2008-1/2009)+(1/2009-1/2010)-(1/2007-1/2010)
=1/2007-1/2008+1/2008-1/2009+1/2009-1/2010-1/2007+1/2010
=0