Limits and derivativesMediumQuestion 430002
Question
lim(x→0) (sin x − x)/x³ equals:
- A−1/6Correct
- B1/6
- C0
- D∞
Correct answer
−1/6
Explanation
Using L'Hôpital or Taylor series: sin x = x − x³/6 + ... → (sin x − x)/x³ → −x³/6 / x³ = −1/6.
JEE Mathematics · Medium
Calculus Mixed Practice: Limits and derivatives MCQ
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
Timer-based practiceDetailed answer reviewMobile-friendly flow