f(x)= _ n (x-1)^ 2 n -1 (x-1)^ 2 n +1 is discontinuous at

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

\(f(x)=\lim _{n \rightarrow \infty} \frac{(x-1)^{2 n}-1}{(x-1)^{2 n}+1}\) is discontinuous at
  1. x = 0 only
  2. x = 2 only
  3. x = 0 and 2
  4. None of these

Answer

(B) x = 2 only

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