_ x (1- 4 x-1 )^ 3 x-1 is equal to :

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{x \rightarrow \infty}\left(1-\frac{4}{x-1}\right)^{3 x-1}\) is equal to :
  1. \(\mathbf{e}^{1}\)
  2. \(e^{-12}\)
  3. \(e^{4}\)
  4. \(e^{3}\)

Answer

(B) e^ -12

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