计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)
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计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)计算1/x(x+1)+1/(
计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)
计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)
计算1/x(x+1)+1/(x+1)(x+2)…+1/(x+1998)(x+1999)
这到题得用到一个公式1/x(x+1)=1/x-1/(x+1)
所以原式等于1/x-1/(x+1)+1/(x+1)-1/(x+2)+.+1/(x+1998)-1/(x+1999)
正,负向抵消得1/x-1/(x+1999)
原式=1/x-1/(x+1999)
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