📝 Definition Of e x

📖 From Calculus • 6. Integration • 23 questions available

Practice MCQs for Definition Of e x. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-16

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Q1. What is the limit definition of the constant \(e\)?

🔹 A. \((1 + 1/n)^n\) as \(n\) approaches infinity

🔹 B. \((1 - 1/n)^n\)

🔹 C. \(n^{1/n}\)

🔹 D. \(\ln(n)\)

💡 Difficulty: easy | ✅ Correct: A

Q2. If a population grows continuously at a rate proportional to its size, which expression gives the instantaneous growth rate at time \(t\)?

🔹 A. \(k P_0 e^{kt}\)

🔹 B. \(k P(t)\)

🔹 C. \(P_0 e^{kt}\)

🔹 D. A

💡 Difficulty: medium | ✅ Correct: B

Q3. What is the derivative of the function \(f(x) = e^x\)?

🔹 A. \(x e^x\)

🔹 B. \(e^{x-1}\)

🔹 C. \(e^x\)

🔹 D. 1

💡 Difficulty: hard | ✅ Correct: C

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