The value of _ x 1 (2-x)^ x 2 is equal to...
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The value of \(\lim _{x \rightarrow 1}(2-x)^{\tan \frac{\pi x}{2}}\) is equal to...
- \(\mathrm{e}^{\frac{-2}{\pi}}\)
- \(\mathbf{e}^{\frac{1}{\pi}}\)
- \(\mathbf{e}^{\frac{2}{\pi}}\)
- \(\mathbf{e}^{\frac{-1}{\pi}}\)
Answer
(A) e ^ -2
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