Solving equation 1 / (x +) (x + 2) + 1 / (x + 2) (x + 3) +... 1 / (x + 99) (x + 100) + 1 / x + 100 = 2009 / 2010 Help. I'll hand it in tomorrow. Thank you~

1 / (x + 1) (x + 2) this is equal to 1 / (x + 1) - 1 / (x + 2)
And so on
1/(x+1)-1/(x+2)+1/(x+2)-1/(x+3)+.+1/(x+99)-1/(x+100)+1/(x+100)=2009/2010;
So 1 / (x + 1) = 2009 / 2010;
The solution is x = 1 / 2009

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