Q72. lim √3x−3 is equal to x→3 √2x−4− √2 (1) 1 (2) 1 √2 2√2 (3) √3 (4) √3 2
What This Question Tests
The question assesses the ability to evaluate a limit of an indeterminate form (0/0) using rationalization or L'Hopital's rule, specifically with square root functions.
Concepts Tested
Formulas Used
L'Hopital's Rule (lim f(x)/g(x) = lim f'(x)/g'(x) for 0/0 form)
Derivative of √x = 1/(2√x)
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of limits
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 13: Limits and Derivatives
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