1 1 1 2007_______________ +______________+...+______________
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1 1 1 2007
_______________ +______________+...+________________=___________
(X+1) (x+2) (x+2) (x+3) (x+2007)(x+2008) 3x+6024
_______________ +______________+...+________________=___________
(X+1) (x+2) (x+2) (x+3) (x+2007)(x+2008) 3x+6024
1/(x+1)(x+2)+1/(x+2)(x+3)+...+1/(x+2007)(x+2008)=2007/(3x+6024)
1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...+1/(x+2007)-1/(x+2008)=2007/(3x+6024)
1/(x+1)-1/(x+2008)=2007/(3x+6024)
2007/(x+1)(x+2008)=2007/(3x+6024)
x^2+2009x+2008=3x+6024
x^2+2006x-4016=0
(x+2008)(x-2)=0
x1=-2006
x2=2
1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+...+1/(x+2007)-1/(x+2008)=2007/(3x+6024)
1/(x+1)-1/(x+2008)=2007/(3x+6024)
2007/(x+1)(x+2008)=2007/(3x+6024)
x^2+2009x+2008=3x+6024
x^2+2006x-4016=0
(x+2008)(x-2)=0
x1=-2006
x2=2
1 1 1 2007_______________ +______________+...+______________
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