1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?要有答题过程.

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1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?要有答题过程.1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?要有答题过

1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?要有答题过程.
1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?
要有答题过程.

1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)=?要有答题过程.
1/x(x+1)+1/(x+1)(x+2)+……+1/(x+999)(x+1000)
=1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+999)-1/(x+1000)
=1/x-1/(x+1000)
=1000/(x(x+1000))
公式:1/n(n+1)=1/n-1/(n+1)