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Let f(x)=x/(1-x) and ' a ' be a real num...

Let `f(x)=x/(1-x)` and ' `a` ' be a real number. If `x_0=a`, `x_1=f(x_0) , x_2=f(x_1) , x_3=f(x_2)` and so on. If `x_(2011)=- (1/2012)`, then the value of reciprocal of ' `a` ' is

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The correct Answer is:
2010
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