If f(x) = (x^2 - 4) / (x - 2) for x ≠ 2, and f(x) = k for x = 2. For f(x) to be continuous at x = 2, what must be the value of k?

✓ Correct Answer: Option C

For continuity at x = 2, f(2) must equal the limit of f(x) as x approaches 2. The expression (x^2 - 4) / (x - 2) simplifies to (x-2)(x+2) / (x-2) = x+2 for x ≠ 2. As x approaches 2, x+2 approaches 2+2=4. Thus, k must be 4.