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" (iii) "(1)/(2x+1)...

" (iii) "(1)/(2x+1)

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If A = (2x + 1)/(2x - 1) and B = (2x - 1)/(2x + 1) then A - B is equal to:

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(1)/(2x+1)+(1)/(3)(1)/((2x+1)^(3))+(1)/(5)(1)/((2x+1)^(5))+....=

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Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

(1)/(x+1)+(1)/(2(x+1)^(2))+(1)/(3(x+1)^(3))+.... =