📝 ANALYZING GROWTH USING L'HÔPITAL'S RULE

📖 From Calculus • 4. Topics in Differentiation • 25 questions available

Practice MCQs for ANALYZING GROWTH USING L'HÔPITAL'S RULE. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-14

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📝 Sample Questions

Q1. Which statement is TRUE about the growth of functions?

🔹 A. \(x^n\) grows faster than \(e^x\) for \(n > 10\)

🔹 B. \(e^x\) eventually grows faster than any polynomial

🔹 C. \(\ln x\) grows faster than \(x^n\) for \(n > 1\)

🔹 D. Polynomials eventually grow faster than \(e^x\)

💡 Difficulty: easy | ✅ Correct: B

Q2. \(\lim_{x\to \infty}\frac{x^{100}}{\ln x}\) is:

🔹 A. \(1\)

🔹 B. \(\infty\)

🔹 C. \(0\)

🔹 D. \(100\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Which function has the fastest growth rate as \(x \to \infty\)?

🔹 A. \(x^x\)

🔹 B. \(\ln x\)

🔹 C. \(2^x\)

🔹 D. \(e^x\)

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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