1.

Consider the curvey = tan^(-1) x " anda point "A ( 1 , pi/4) on it. If the variable pointP_(i)(x_(i) , y_(i)) moves on the curve fori = 1,2,3 , …. N ( n in N) " such that" y_(r) =Sigma_(m=1)^(r) tan ^(-1) ( 1/( 2 m^(2)))and B ( x,y) be the limiting position of variable point P_(n) " as " n to infty,then the value of reciprocal of the slope of AB will be

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