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📝 Limits Informal Definition

📖 From Calculus • 2. Limits and Continuity an Introduction • 73 questions available

Practice MCQs for Limits Informal Definition. 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 does \(\lim_{x\to 2} (x^2 - x + 1)\) equal based on the informal definition?

🔹 A. \(1\)

🔹 B. \(2\)

🔹 C. \(3\)

🔹 D. \(4\)

💡 Difficulty: easy | ✅ Correct: C

Q2. In the limit definition, why must \(x\) be different from \(a\)?

🔹 A. Because \(f(a)\) may not exist

🔹 B. Because \(f(a)\) is always infinite

🔹 C. Because \(x=a\) gives the wrong answer

🔹 D. Because \(x=a\) makes the function undefined

💡 Difficulty: medium | ✅ Correct: A

Q3. What is \(\lim_{x\to 0} \frac{1-\cos x}{x}\)?

🔹 A. \(0\)

🔹 B. \(1\)

🔹 C. \(-1\)

🔹 D. Undefined

💡 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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