Q74. lim cot3x−tanxπ is x→π4 cos(x+ 4 ) (1) 4√2 (2) 8√2 (3) 4 (4) 8
What This Question Tests
The limit is of the form 0/0. Convert cot(3x) to 1/tan(3x) and simplify the numerator. Apply L'Hopital's Rule to evaluate the limit after simplifying the expression and using trigonometric identities.
Concepts Tested
Formulas Used
lim (f(x)/g(x)) as x->a = lim (f'(x)/g'(x)) if in 0/0 or inf/inf form
cot x = 1/tan x
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of limits using L'Hopital's rule or series expansion
- Year
- 2019
- Shift
- 12 Jan Shift 1
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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