For any positive integer n, define fn: (0, ) R as 1 (x) =...

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For any positive integer n, define fn: (0, ∞) → R as 1 √₁ (x) = ["=1 tan-1 x = (0, ∞0). values in 1+(x+j) (x+j-1)) -1 Here, the inverse trigonometric function tan xassumes π T 2 2 for all Then, which of the following statement(s) is (are) TRUE? (A) j=1 -₁ tan² (f (0)) = 55 (B) 1 (1+f; (0)) sec² (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 sec² (f(x)) = 1 4. For any positive integer n, define fn: (0, ∞) → R as 1 √₁ (x) = ["=1 tan-1 x = (0, ∞0). values in 1+(x+j) (x+j-1)) -1 Here, the inverse trigonometric function tan xassumes π T 2 2 for all Then, which of the following statement(s) is (are) TRUE? (A) j=1 -₁ tan² (f (0)) = 55 (B) 1 (1+f; (0)) sec² (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 sec² (f(x)) = 1 4.

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