Find the fraction which exceeds its n th power by the greatest possible number (n > 1).

Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability

1. \(\frac{1}{\pi^{n-1}}\)
2. \(\left(\frac{1}{n}\right)^{n-1}\)
3. \(\left(\frac{1}{n}\right)^{\frac{1}{n-1}}\)
4. none of these

Answer

(C) ( 1 n )^ 1 n-1

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