The function f (x) = ( 2 x)^ ^ 2 2 x is not defined at x = π/4 . The value of f (π/4) so…

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

The function f (x) = \((\sin 2 x)^{\tan ^{2} 2 x}\) is not defined at
x = π/4 . The value of f (π/4) so that f is continuous at
x = π/4 is
  1. \(\sqrt{\mathrm{e}}\)
  2. \(1 / \sqrt{\mathrm{e}}\)
  3. 2
  4. None of these

Answer

(B) 1 / e

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