Q72.If the function f(x) = sin 3x+α sin x−β cos 3x , x ∈R , is continuous at x = 0 , then f(0) is equal to : x3 (1) 2 (2) -2 (3) 4 (4) -4
What This Question Tests
This question requires using limits and L'Hopital's rule or series expansion to find the values of constants that make a function continuous at a given point.
Concepts Tested
Formulas Used
lim (x->0) (sin x)/x = 1
L'Hopital's Rule
Taylor series expansion of sin x and cos x
📚 NCERT Sections This Tests
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Physics Class 12 · Chapter 11
11.3 The photoelectric cut-off voltage in a certain experiment is 1.5 V. What is the maximum kinetic energy of photoelectrons emitted?
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Continuity of functions
- Year
- 2024
- Shift
- 05 Apr Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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