Evaluate the limit: lim (x→8) (x² - 64)/(x - 8)
- A. 8
- B. 16 ✓
- C. 64
- D. 17
Correct answer
B. 16
Explanation
Factor the numerator: (x² - 64) = (x-8)(x+8). Cancel the (x-8) terms to get (x+8), then substitute x = 8 to get 16.
B. 16
Factor the numerator: (x² - 64) = (x-8)(x+8). Cancel the (x-8) terms to get (x+8), then substitute x = 8 to get 16.