Question Detail
Question
Evaluate lim(x→0) x³/(1-cos2x)
Correct Answer
Option A is the correct answer.
Detailed Explanation
Since 1-cos2x ≈ 2x² for small x, the expression behaves like x³/(2x²)=x/2, which tends to 0 as x→0.
Hint
Use the small-angle approximation 1-cos(2x) ≈ 2x² to compare orders of magnitude.