1/2+2/3+3/4+...2005/2006简便计算
问题描述：
1/2+2/3+3/4+...2005/2006简便计算
答
=1-1/2+1/2-1/3+1/3-1/4+1/4+……+1/2005-1/2006
=1-1/2006
=2005/2006
答
=1-1/2+1-1/3+……1-1/2006=2007-(1+1/2+1/3+……1/2006)=2007-(ln2006-γ)≈2007-7.603897968521880840282817113051-0.57721566490153286060651209≈1998,8183879863021289979668922264