Let f(x)=|[ 1 / x log x x^n; 1 -1 / n (-1)^n; 1 a a^2 ]|, then (where f^n(...

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Let f(x)=|[ 1 / x log x x^n; 1 -1 / n (-1)^n; 1 a a^2 ]|, then (where f^n(x) denotes n^th derivative of f(x) )
(A) f^n(1) is indepedent of a
(B) f^n(1) is indepedent of n
(C) f^n(1) depends on a and n
(D) y=a(x-f^n(1)) represents a straight line through the origin

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