1/x-1 + 1/(x-1)(x-2)+……1/(x-2016)(x-2017)
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1/x(x-1) + 1/(x-1)(x-2)+……+1/(x-2016)(x-2017)
=1/x-1/(x-1) + 1/(x-1)-1/(x-2)+……+1/(x-2016)-1/(x-2017)
=1/x-1/(x-2017)
=-2017/x(x-2017)
=1/x-1/(x-1) + 1/(x-1)-1/(x-2)+……+1/(x-2016)-1/(x-2017)
=1/x-1/(x-2017)
=-2017/x(x-2017)
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