1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!

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1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!1/1x2+1/2x3+1/3x4...+1

1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!
1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!

1/1x2+1/2x3+1/3x4...+1/2006x2007=等于多少啊!
1/1x2+1/2x3+1/3x4...+1/2006x2007
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+.+(1/2006-1/2007)
=1-1/2007
=2006/2007