If | x |<1 , then the coefficient of x ^ in expansion of (1+ x + x ^ 2 + x ^ 3 + )^ 2 is

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

If \(|\mathbf{x}|<1\), then the coefficient of \(\mathbf{x}^{\Pi}\) in expansion of \(\left(1+\mathbf{x}+\mathbf{x}^{2}+\mathbf{x}^{3}+\ldots\right)^{2}\) is
  1. \(\text { n }\)
  2. \(\text { n - } 1\)
  3. \(n+2\)
  4. \(n+1\)

Answer

(D) n+1

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