Let f(x) = (x^2 - 1) / (x - 1) for x ≠ 1. If f is to be made continuous at x = 1, what value must be assigned to f(1)?
Correct: C
For x ≠ 1, f(x) = (x^2 - 1) / (x - 1) = (x - 1)(x + 1) / (x - 1) = x + 1. The limit as x → 1 is lim_(x→1) (x + 1) = 2. To make f continuous at x = 1, we must define f(1) = 2. The correct answer is C.