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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),then find the value of x

Answer»


ANSWER :`X = 2000 - (1)/( 2000)`


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