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计算:1/a-1+1/(a-1)(a-2)+1/(a-2)(a-3)+……+1/(a-2010)(a-2011)谢谢了,

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/18 08:48:06
计算:1/a-1+1/(a-1)(a-2)+1/(a-2)(a-3)+……+1/(a-2010)(a-2011)谢谢了,
1/a-1+1/(a-1)(a-2)+1/(a-2)(a-3)+……+1/(a-2010)(a-2011) =1/(a-1)+1/(a-2)-1/(a-1)+1/(a-3)-1/(a-2)+...+1/(a-2011)-1/(a-2010) =1/(a-2011)