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📝 Limits Involving Radicals

📖 From Calculus • 2. Limits and Continuity an Introduction • 89 questions available

Practice MCQs for Limits Involving Radicals. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

10
Easy Questions
27
Medium Questions
52
Hard Questions

📝 Sample Questions

Q1. What is the strategy for finding \(\lim_{x\to 1} \frac{x - 1}{\sqrt{x} - 1}\)?

🔹 A. Direct substitution
🔹 B. Rationalize the denominator
🔹 C. Rationalize the numerator
🔹 D. Factor and cancel

💡 Difficulty: easy | ✅ Correct: B

Q2. What is \(\lim_{x\to 0} \frac{\sqrt{1+x} - 1}{x}\)?

🔹 A. 0
🔹 B. \(\frac{1}{2}\)
🔹 C. 1
🔹 D. \(\infty\)

💡 Difficulty: medium | ✅ Correct: B

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

🔹 A. 0
🔹 B. \(\frac{1}{2}\)
🔹 C. 1
🔹 D. 2

💡 Difficulty: hard | ✅ Correct: B

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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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