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📝 Sampling Pitfalls

📖 From Calculus • 2. Limits and Continuity an Introduction • 60 questions available

Practice MCQs for Sampling Pitfalls. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

12
Easy Questions
24
Medium Questions
24
Hard Questions

📝 Sample Questions

Q1. What is the main problem with using numerical evidence to conjecture limits?

🔹 A. It is always accurate
🔹 B. It can be misleading due to roundoff or poor sampling
🔹 C. It requires a graphing calculator
🔹 D. It cannot be used for polynomials

💡 Difficulty: easy | ✅ Correct: B

Q2. The function \(f(x)=\sin(\frac{\pi}{x})\) at \(x=\frac{1}{n}\) for integer \(n\) equals:

🔹 A. 0
🔹 B. 1
🔹 C. -1
🔹 D. Undefined

💡 Difficulty: medium | ✅ Correct: A

Q3. At \(x=\frac{1}{\sqrt{n}}\) for integer \(n\), \(\sin(\frac{1}{x^2})\) equals:

🔹 A. \(\sin(n)\)
🔹 B. \(\sin(n^2)\)
🔹 C. \(\sin(\pi n)\)
🔹 D. \(\sin(\frac{1}{n})\)

💡 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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