If (2+3 x)^ -5 expands in ascending powers of x , then x belongs to

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

If \((2+3 x)^{-5}\) expands in ascending powers of \(\mathbf{x}\), then \(\mathbf{x}\) belongs to
  1. \([-1,1]\)
  2. \(\left(-\frac{1}{3}, 1\right)\)
  3. \(\left(-\frac{1}{3}, \frac{2}{3}\right)\)
  4. \(\left(-\frac{2}{3}, \frac{2}{3}\right)\)

Answer

(D) (- 2 3 , 2 3 )

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