Question

For x∈ R , x ≠ 0, x ≠ 1, let f0(x) = 1/1 - x and fn+ 1(x) = f0(fn(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