计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/(x+2013)(x+2014)
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计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/(x+2013)(x+2014)计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/
计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/(x+2013)(x+2014)
计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/(x+2013)(x+2014)
计算:1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+.+1/(x+2013)(x+2014)
原式=1/x-1/(x+1) + 1/(x+1)-1/(x+2) + …… + 1/(x+2013)-1/(x+2014)
=1/x-1/(x+2014)=2013/x(x+2014)
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