`lim_(x->a)(x^n-a^n)/(x-a)` is equal to
a.`n a^n`
b . `n a^(n-1)`
c. `n a`
d. 1

Explanation

To solve the limit problem \( \lim_{x \to a} \frac{x^n - a^n}{x - a} \), we can follow these steps:

### Step 1: Identify the form of the limit
As \( x \) approaches \( a \), both the numerator \( x^n - a^n \) and the denominator \( x - a \) approach 0. This gives us a \( \frac{0}{0} \) indeterminate form, which allows us to apply L'Hôpital's Rule.

### Step 2: Apply L'Hôpital's Rule
According to L'Hôpital's Rule, we can take the derivative of the numerator and the derivative of the denominator:

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