1/2+1/2*1/3+1/3*1/4+.1/2008*1/2009
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![1/2+1/2*1/3+1/3*1/4+.1/2008*1/2009](/uploads/image/z/5328858-66-8.jpg?t=1%2F2%2B1%2F2%2A1%2F3%2B1%2F3%2A1%2F4%2B.1%2F2008%2A1%2F2009)
1/2+1/2*1/3+1/3*1/4+.1/2008*1/2009
1/2+1/2*1/3+1/3*1/4+.1/2008*1/2009
1/2+1/2*1/3+1/3*1/4+.1/2008*1/2009
1/2+(1/2-1/3)+(1/3-1/4)+.+(1/2008-1/2009)=1/2-1/2009=2007/4018
1/2+1/2-1/3+1/3-1/4+......+1/2008-1/2009=1/2-1/2009=~~~你自己看着办吧
2008/2009
1/2+1/3*3/4+1/5*5/6+1/7*……
抱歉,不回了,请问你哦,你是几年级的?
1/2+1/2-1/3+1/3-1/4+......+1/2008-1/2009=1-1/2009=2008/2009