Q72. log𝑒1 + 5𝑥- log𝑒1 + 𝛼𝑥 if 𝑥≠0 Let the function 𝑓𝑥= 𝑥 be continuous at 𝑥= 0. Then 𝛼 is equal to 10 if 𝑥= 0 (1) 10 (2) -10 (3) 5 (4) -5
What This Question Tests
This question tests the understanding of continuity at a point, specifically involving limits of logarithmic functions, which can be evaluated using standard limit formulas or L'Hopital's Rule.
Concepts Tested
Formulas Used
lim x→0 (log(1+ax))/x = a
L'Hopital's Rule
📚 NCERT Sections This Tests
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10.5 In Young’s double-slit experiment using monochromatic light of wavelength l, the intensity of light at a point on the screen where path difference is l, is K units. What is the intensity of light at a point where path difference is l/3?
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Continuity of a function at a point
- Year
- 2022
- Shift
- 29 Jul Shift 2
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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