Evaluate: lim(x→3) of (x² - 9)/(x - 3)
Direct Answer: Indeterminate Limit Factoring is defined by: 6. Direct substitution yields 0/0. Factoring: (x - 3)(x + 3)/(x - 3) = x + 3 for x ≠ 3. As x -> 3, limit = 3 + 3 = 6.
Detailed Step-by-Step Explanation:
Direct substitution yields 0/0. Factoring: (x - 3)(x + 3)/(x - 3) = x + 3 for x ≠ 3. As x -> 3, limit = 3 + 3 = 6.