The value of _ x 1 (2-x)^ x 2 is equal to...

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The value of \(\lim _{x \rightarrow 1}(2-x)^{\tan \frac{\pi x}{2}}\) is equal to...
  1. \(\mathrm{e}^{\frac{-2}{\pi}}\)
  2. \(\mathbf{e}^{\frac{1}{\pi}}\)
  3. \(\mathbf{e}^{\frac{2}{\pi}}\)
  4. \(\mathbf{e}^{\frac{-1}{\pi}}\)

Answer

(A) e ^ -2

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