MixedMediumQuestion 240019
Question
lim(x→π/2) (1 − sin x)/cos²x equals:
- A1/2Correct
- B1
- C0
- D∞
Correct answer
1/2
Explanation
cos²x = 1 − sin²x = (1−sin x)(1+sin x). So (1−sin x)/cos²x = 1/(1+sin x). At x = π/2: 1/(1+1) = 1/2.
JEE Mathematics · Medium
Limits and Continuity: Mixed MCQ
Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.
Timer-based practiceDetailed answer reviewMobile-friendly flow