Evaluate the limit: lim (x→7) (x² - 49)/(x - 7)
- A. 15
- B. 14 ✓
- C. 7
- D. 49
Correct answer
B. 14
Explanation
Factor the numerator: (x² - 49) = (x-7)(x+7). Cancel the (x-7) terms to get (x+7), then substitute x = 7 to get 14.
B. 14
Factor the numerator: (x² - 49) = (x-7)(x+7). Cancel the (x-7) terms to get (x+7), then substitute x = 7 to get 14.