Q68.Let f : [−π2 , 2 ] →R be a differentiable function such that f(0) = 2 , If ex2−1 x→0 to : (1) 16 (2) 2 (3) 1 (4) 4
What This Question Tests
This question evaluates a limit using L'Hôpital's Rule, which involves applying the Fundamental Theorem of Calculus for the derivative of the integral.
Concepts Tested
Formulas Used
L'Hôpital's Rule
d/dx ∫ₐˣ f(t)dt = f(x)
d/dx (e^u) = e^u * du/dx
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- L'Hôpital's Rule and Fundamental Theorem of Calculus
- Year
- 2024
- Shift
- 30 Jan Shift 1
- Q Number
- Q68
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability; Class 12 Mathematics Ch 7: Integrals
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