Question Detail
Question
Evaluate lim(x→1/2) (8x³-1)/(2x-1)
Correct Answer
Option C is the correct answer.
Detailed Explanation
8x³-1 is a difference of cubes: (2x-1)(4x²+2x+1). Cancelling (2x-1) leaves 4x²+2x+1, which at x=1/2 gives 1+1+1=3.
Hint
Recognise 8x³-1 as a difference of cubes and factor out (2x-1).