Let f o^n (f(x)) denote the composition of f(x) with itself n number of times then the value of ltn → ∞ f o^n (sin(x)) =
(a) -1
(b) 2
(c) ∞
(d) 0
I had been asked this question in quiz.
Question is taken from Indeterminate Forms in portion Differential Calculus of Engineering Mathematics