Let f( x )= x 1- x and let a be a real number. If x _ t = a _ 1 , x _ 1 =f ( x _ t ), x _…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Let \(f(\mathbf{x})=\frac{\mathbf{x}}{1-\mathbf{x}}\)  and let a be a real number. If \(\mathbf{x}_{\mathbf{t}}=\mathbf{a}_{1}, \mathbf{x}_{1}=f\left(\mathbf{x}_{\mathbf{t}}\right), \mathbf{x}_{2}=f\left(\mathbf{x}_{1}\right), \ldots, \mathbf{x}_{1 \mathbf{g g}}=1\), what is \(\mathbf{a}\).
  1. 0
  2. \(\frac{1}{1997}\)
  3. 1995
  4. \(\frac{1995}{1996}\)

Answer

(B) 1 1997

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