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根据(1)式结果计算:1/1×2+1/2×3+1/3×4+…+1/2012×2013=?
若把题目式改为1/1×2+1/2×3+1/3×4+…+1/2012×2013 -1,结果是多少?你遇到了什么情况?
人气:172 ℃ 时间:2020-03-23 04:49:20
解答
1/(1×2)+1/(2×3)+1/(3×4)+...+1/(2012×2013)
=1-1/2+1/2-1/3+1/3-1/4+...+1/2012-1/2013
=1-1/2013
=2012/2013
1/(1×2)+1/(2×3)+1/(3×4)+...+1/(2012×2013) -1
=1-1/2+1/2-1/3+1/3-1/4+...+1/2012-1/2013-1
=1-1/2013-1
=-1/2013,结果是负值.啥意思说下
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