Find the value of x for which the expansion 2+x (3-2 x)^ 2 is valid

Mathematics · JEE Main · NTA ExamsBinomial Theorem And Its Simple Applications

Find the value of x for which the expansion \(\frac{2+x}{(3-2 x)^{2}}\) is valid          
  1. \(|\mathbf{x}|<1\)
  2. \(|x|<\frac{3}{2}\)
  3. \(|\mathbf{x}|<0\)
  4. None of these

Answer

(B) |x|< 3 2

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