If a _ 1 =1 and a_ n+1 = 4+3 a_ n 3+2 a_ n , n 1 and if _ n a _ n+1 = a, then the value…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

If \(\mathrm{a}_{1}=1\) and \(a_{n+1}=\frac{4+3 a_{n}}{3+2 a_{n}}, n \geq 1 \text { and if }\) \(\lim _{n \rightarrow \infty} \mathbf{a}_{n+1}=\) a, then the value of \(\mathbf{a}\) is :
  1. \(\sqrt{2}\)
  2. \(-\sqrt{2}\)
  3. 2
  4. None of these

Answer

(C) 2

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