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If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2...

If `sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))++sqrt(1+1/((1999)^2)+(2000)^2)+=1/x ,`

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The correct Answer is:
`x = 2000, - 1/(2000)`
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If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))++sqrt(1+1/((1999)^2)+(2000)^2)=x-1/x

If the sum sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4^2))+..........+sqrt(1+1/(1999^2)+1/(2000^2)) is equal to n-1/n where ninN. Find n

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