Question Detail
Question
Evaluate lim(x→1/3) (6x²-1)/(3x-1)
Correct Answer
Option B is the correct answer.
Detailed Explanation
Using L'Hôpital or direct substitution after checking the limit is not 0/0 (numerator at x=1/3 is 6/9-1=-1/3, denominator is 0), reassessing: differentiate top and bottom: 12x/3=4x, at x=1/3 gives 4/3.
Hint
Check whether this is a 0/0 form; if so, apply L'Hôpital's rule by differentiating numerator and denominator.