For any positive integer n, define fn: (0, ) R as 1 (x) = ["=1 tan-1 x = (0, 0). values in 1+(x+j) (x+j-1)) -1 Here, the inverse trigonometric function tan xassumes T 2 2 for all Then, which of the following statement(s) is (are) TRUE? (A) j=1 - tan (f (0)) = 55 (B) 1 (1+f; (0)) sec (f; (0)) = 1 10 j=1 10 1 (C) For any fixed positive integer n, lim tan (f(x)) = X-8 n (D) For any fixed positive integer n, lim sec (f(x)) = 1 4.