For x in R, x != 0, x != 1, let f(0)(x)=...

For `x in R, x != 0, x != 1`, let `f_(0)(x)= (1)/(1-x)` and `f_(n+1)(x)=f_(0)(f_(n)(x)), n = 0, 1, 2,....` Then the value of `f_(100)(3)+f_(1)(2/3)+f_(2)(3/2)` is equal to

A

`8/3`

B

`5/3`

C

`4/3`

D

`1/3`

Verified by Experts

The correct Answer is:

B

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