Question

For x∈ R , x ≠ 0, x ≠ 1, let f₀(x) = 1/1 - x and f_{n + 1}(x) = f₀(f_n(x)) n = 0,1,2, ..... Then, the value of f₁₀₀₍₃₎ + f₁(2/3) + f₂(3/2) is equal to

(A)  8/3

(B)   4/3

(C)   5/3

(D)   1/3

Answer 1

Correct option  (C)  5/3

Explanation :

We have