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📝 Approximating Roots

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

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

🔄 Last updated: 2026-07-12

13
Easy Questions
12
Medium Questions
0
Hard Questions

📝 Sample Questions

Q1. What is the absolute error in an approximation \(x\) to a quantity \(x_0\)?

🔹 A. \(|x-x_0|\)
🔹 B. \(x-x_0\)
🔹 C. \(\frac{|x-x_0|}{x_0}\)
🔹 D. \(|x|+|x_0|\)

💡 Difficulty: easy | ✅ Correct: A

Q2. In Example 5, what is the goal for approximating the root?

🔹 A. To one decimal place
🔹 B. To two decimal places
🔹 C. To three decimal places
🔹 D. To four decimal places

💡 Difficulty: medium | ✅ Correct: B

Q3. If \(|x-x_0|\le 0.01\), then \(x\) approximates \(x_0\) with an error of at most:

🔹 A. 0.1
🔹 B. 0.01
🔹 C. 0.001
🔹 D. 0.0001

💡 Difficulty: easy | ✅ Correct: B

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🔗 Related Topics

📝 Areas and Limits📝 Continuity in Applications📝 Continuity of Compositions📝 Continuity of Inverse Functions📝 Continuity of Trigonometric Functions
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