_ x ( x-1 x+1 )^ x+2 is equal to

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(\lim _{x \rightarrow \infty}\left(\frac{x-1}{x+1}\right)^{x+2}\)is equal to
  1. e
  2. e–1
  3. e–2
  4. none of these

Answer

(C) e –2

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