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📝 Continuity of Compositions

📖 From Calculus • 2. Limits and Continuity an Introduction • 20 questions available

Practice MCQs for Continuity of Compositions. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

10
Easy Questions
8
Medium Questions
2
Hard Questions

📝 Sample Questions

Q1. If \(\lim_{x\to c} g(x)=L\) and \(f\) is continuous at \(L\), then what is \(\lim_{x\to c} f(g(x))\)?

🔹 A. \(f(L)\)
🔹 B. \(L\)
🔹 C. \(g(c)\)
🔹 D. \(f(c)\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is \(\lim_{x\to 3} |5-x^2|\)?

🔹 A. 0
🔹 B. 1
🔹 C. 3
🔹 D. 4

💡 Difficulty: medium | ✅ Correct: D

Q3. What is \(\lim_{x\to 2} |x^2-5x+6|\)?

🔹 A. 0
🔹 B. 1
🔹 C. 2
🔹 D. 3

💡 Difficulty: hard | ✅ Correct: A

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🔗 Related Topics

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