Mathematics · JEE | LIMITS AND DERIVATIVES

Find \( \lim_{x \to a} \frac{x^n - a^n}{x - a} \) for any positive integer \( n \).

1. A
   \( a^{n-1} \)
2. B
   \( n a^{n-1} \)
3. C
   \( n a^n \)
4. D
   \( n! a^{n-1} \)