The value of a is (A) 2 |sin x| (B) |cos x| (C) |sin x| (D) 1 2

Question

Let f(x) = lim_(n →∞) (cos√(x/n))n, g(x) = lim_(n →∞) (1 - x + x(n√e))ⁿ. Now, consider the function y = h(x), where h(x) = tan^-1 [g^-1f ^-1(x)].

The value of a is

(A) 2 |sin x|

(B) |cos x|

(C) |sin x|

(D) 1/2

Answer 1

Answer is (C) |sin x|