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Let f(x)=x/(1-x) and let alpha be a rea...

Let `f(x)=x/(1-x)` and let `alpha` be a real number. If `x_0=alpha, x_1=f(x_0), x_2 = f(x_1),.........and x_2011 = -1/2012` then the value of `alpha` is

A

0

B

`(2009)/(2010)`

C

`(1)/(2009)`

D

`(1)/(2010)`

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The correct Answer is:
D
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