Q68. e−(1+2x) 2x1 limx→0 x is equal to (1) 0 (2) −2 e (3) e (4) e −e2
What This Question Tests
This question requires evaluating a limit involving an integral in the numerator and a polynomial in the denominator, which typically involves applying L'Hopital's rule and the Fundamental Theorem of Calculus.
Concepts Tested
Formulas Used
lim f(x)/g(x) = lim f'(x)/g'(x) (if in 0/0 or ∞/∞ form)
d/dx ∫_a^x f(t)dt = f(x)
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Evaluation of limits using L'Hopital's rule
- Year
- 2024
- Shift
- 09 Apr Shift 2
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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