Question:
Evaluate ₓₒᵢₙfty√(1+\sin3x)-1ln(1+\tan2x).
Evaluate ₓₒᵢₙfty√(1+\sin3x)-1ln(1+\tan2x).
Show Hint
Use standard limits for oscillatory functions.
Updated On: Mar 18, 2026
- 1/2
- 3/2
- 3/4
- 1/4
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Use small-angle approximations. √(1+u)-1 ≈ (u)/(2), ln(1+v)≈ v
Step 2: Ratio evaluation. Limit simplifies to 3/4.
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