计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2013)(x+2014)要过程

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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)要过程

计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2013)(x+2014)要过程
计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2013)(x+2014)要过程

计算1/x(x+1)+1/(x+1)(x+2)+1/(x+2)(x+3)+……+1/(x+2013)(x+2014)要过程
=（1/x-1/x+1)+(1/x+1 -1/x+2)+(1/x+2 -1/x+3)+...+(1/x+2013 -1/x+2014)
=1/x - 1/x+2014
=(x+2014-x)/x(x+2014)
=2014/x平方-2014x
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1/(x+2014)

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