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2/(x+1)(x+3)+2/(x+3)(x+5)+·····+2/(x+2007)(x+2009)

来源：学生作业帮 编辑：大师作文网作业帮 分类：综合作业 时间：2024/11/14 02:23:02
2/(x+1)(x+3)+2/(x+3)(x+5)+·····+2/(x+2007)(x+2009)
2/(x+1)(x+3)+2/(x+3)(x+5)+·····+2/(x+2007)(x+2009)
2/(x+1)(x+3)+2/(x+3)(x+5)+·····+2/(x+2007)(x+2009)
=1/(x+1)-1/(x+3)+1/(x+3)-1/(x+5)+·····+1/(x+2007)-1/(x+2009)
=1/(x+1)-1/(x+2009)
=2008/(x+1)(x+2009)
=2008/(x²+2010x+2009)
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