For x ∈ R, _ x ( x-3 x+2 )^ x is equal to

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

For x ∈ R, \(\lim _{x \rightarrow \infty}\left(\frac{x-3}{x+2}\right)^{x}\)is equal to
  1. e
  2. e–1
  3. e–5
  4. e5

Answer

(C) e –5

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