Q78.If the function f defined on ( 6 , π3 ) by f(x) = π { k, x = 4 (1) 1 (2) 1 2 (3) 2 (4) 1 √2
What This Question Tests
This question assesses the concept of continuity at a specific point, requiring the evaluation of a 0/0 form limit using L'Hopital's Rule and trigonometric derivatives.
Concepts Tested
Formulas Used
lim x→a f(x) = f(a) for continuity
L'Hopital's Rule
d(cos x)/dx = -sin x
d(cot x)/dx = -cosec^2 x
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Continuity of a function at a point
- Year
- 2019
- Shift
- 09 Apr Shift 1
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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