1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009的计算方法
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![1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009的计算方法](/uploads/image/z/1241998-70-8.jpg?t=1-1%2F2+%2B1%2F2-1%2F3%2B1%2F3-1%2F4%2B%E2%80%A61%2F2008-1%2F2009%E7%9A%84%E8%AE%A1%E7%AE%97%E6%96%B9%E6%B3%95)
1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009的计算方法
1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009的计算方法
1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009的计算方法
1-1/2 +1/2-1/3+1/3-1/4+…1/2008-1/2009
=1+(-1/2+1/2)+(-1/3+1/3)+(-1/4+1/4)+.+(-1/2008+1/2008)-1/2009
=1+0+0+0+...+0-1/2009
=1-1/2009
=2008/2009