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Find the sum sqrt(1-1/(1^2)+1/(2^2) )-sq...

Find the sum `sqrt(1-1/(1^2)+1/(2^2) )-sqrt(1+1/(2^2)+1/(3^2))-sqrt(1-1/(2007^2)+1/2008^2)`

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What is sqrt(1 + 1/1^(2) + 1/2^(2)) + sqrt(1 + 1/2^(2) + 1/3^(2)) +.... + sqrt(1+ 1/2007^(2) + 1/2008^(2)) equal to?

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