急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每个步骤,

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 11:57:30
急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每个步骤,

急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每个步骤,
急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每个步骤,

急求高手解答1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009帮忙列出每个步骤,
1/1x2+1/2x3+1/3x4+1/4x5+.+1/2007x2008+1/2008x2009
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2008-1/2009)
=1-1/2009
=2008/2009
学了数列 裂项 后 就会做了

1+10+100+1000+10000