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For x in R , x ne0, 1, let f(0)(x)=(1)...

For ` x in R , x ne0, 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)+f_(1)((2)/(3))+f_(2)((3)/(2))` is equal to

A

`8/3`

B

`4/3`

C

`5/3`

D

`1/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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