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📝 Quick Method for Rational Limits

📖 From Calculus • 2. Limits and Continuity an Introduction • 35 questions available

Practice MCQs for Quick Method for Rational Limits. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

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📝 Sample Questions

Q1. What is the leading coefficient of \(2x^3-5x^2+1\)?

🔹 A. -5

🔹 B. 1

🔹 C. 2

🔹 D. 3

💡 Difficulty: easy | ✅ Correct: C

Q2. What is \(\lim_{x\to +\infty} \frac{2x+1}{3x-2}\) using the quick method?

🔹 A. 0

🔹 B. \(\frac{2}{3}\)

🔹 C. \(\frac{3}{2}\)

🔹 D. 2

💡 Difficulty: medium | ✅ Correct: B

Q3. What is the quick method for finding \(\lim_{x\to \pm\infty} \frac{p(x)}{q(x)}\)?

🔹 A. Compare the degrees of numerator and denominator

🔹 B. Evaluate at x=0

🔹 C. Find the derivative

🔹 D. Set numerator equal to zero

💡 Difficulty: easy | ✅ 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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