Question Detail
Question
Evaluate lim(x→-3) (x³+x²-9x-9)/(x+3)
Correct Answer
Option B is the correct answer.
Detailed Explanation
Factor by grouping: x³+x²-9x-9 = x²(x+1)-9(x+1) = (x+1)(x²-9) = (x+1)(x-3)(x+3). Cancel (x+3), leaving (x+1)(x-3), which at x=-3 gives (-2)(-6)=12.
Hint
Try factoring by grouping to reveal the common factor (x+3).