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📝 Properties of Continuous Functions

📖 From Calculus • 2. Limits and Continuity an Introduction • 25 questions available

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

🔄 Last updated: 2026-07-12

15
Easy Questions
8
Medium Questions
2
Hard Questions

📝 Sample Questions

Q1. If \(f\) and \(g\) are continuous at \(c\), then \(f+g\) is:

🔹 A. Continuous at \(c\)
🔹 B. Discontinuous at \(c\)
🔹 C. Undefined at \(c\)
🔹 D. Differentiable at \(c\)

💡 Difficulty: easy | ✅ Correct: A

Q2. In Theorem 1.5.3(d), if \(g(c)=0\), what happens to \(f/g\)?

🔹 A. It is continuous
🔹 B. It has a discontinuity at \(c\)
🔹 C. It is always 0
🔹 D. It is undefined at \(c\)

💡 Difficulty: medium | ✅ Correct: B

Q3. If \(f\) and \(g\) are continuous at \(c\) and \(f(c)=g(c)=0\), then the quotient \(f/g\):

🔹 A. Is always continuous at \(c\)
🔹 B. Is always discontinuous at \(c\)
🔹 C. May be continuous or discontinuous
🔹 D. Is undefined

💡 Difficulty: hard | ✅ Correct: C

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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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