📝 INDETERMINATE FORMS OF TYPE 0/0

📖 From Calculus • 4. Topics in Differentiation • 30 questions available

Practice MCQs for INDETERMINATE FORMS OF TYPE 0/0. 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. Evaluate \(\lim_{x\to 2}\frac{x^2-4}{x-2}\).

🔹 A. \(0\)

🔹 B. \(\infty\)

🔹 C. \(2\)

🔹 D. \(4\)

💡 Difficulty: easy | ✅ Correct: D

Q2. Evaluate \(\lim_{x\to 0}\frac{1-\cos x}{x}\).

🔹 A. \(\frac{1}{2}\)

🔹 B. \(0\)

🔹 C. \(\infty\)

🔹 D. \(1\)

💡 Difficulty: medium | ✅ Correct: B

Q3. Evaluate \(\lim_{x\to 0}\frac{\sin x - x}{x^3}\) using L'Hôpital's rule.

🔹 A. \(-\frac{1}{6}\)

🔹 B. \(\frac{1}{6}\)

🔹 C. \(\infty\)

🔹 D. \(0\)

💡 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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