(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)尽快.
问题描述:
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)
尽快.
答
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/3-1)*(1/2-1)
=-2009/2010*2008/2009*2007/2008*...*2/3*1/2 (共2009个负号相乘,结果仍未负)
=-1/2010