(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
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(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/201
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
答：
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
=1/2-1+1/3-1/2+1/4-1/3+.+1/2014-1/2013
=-1+1/2014
=-2013/2014
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
=- （1-1/2+1/2-1/3+1/3-1/4+....+1/2013-1/2014）
=-(1-1/2014)
=-2013/2014