2. Limits and Continuity an Introduction - Calculus

📖 From Calculus • 1540 questions available

Practice MCQs for 2. Limits and Continuity an Introduction. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

492

Easy Questions

659

Medium Questions

389

Hard Questions

📝 Topics in this Chapter

📝 Approximating Roots
📝 Areas and Limits
📝 Continuity in Applications
📝 Continuity of Compositions
📝 Continuity of Inverse Functions
📝 Continuity of Trigonometric Functions
📝 Continuity on an Interval
📝 Decimals and Limits
📝 Definition of Continuity
📝 End Behavior of Special Functions
📝 Infinite Limits
📝 Infinite Limits at Infinity
📝 Infinite Limits Rigorous
📝 Intermediate-Value Theorem
📝 Limit Laws for Limits at Infinity
📝 Limits at Infinity and Horizontal Asymptotes
📝 Limits at Infinity Rigorous
📝 Limits Informal Definition
📝 Limits Involving Radicals
📝 One Sided & Two Sided Limits Relationship
📝 One Sided Limits
📝 Piecewise Defined Limits
📝 Polynomial and Rational Continuity
📝 Polynomial and Rational Limits
📝 Properties of Continuous Functions
📝 Quick Method for Rational Limits
📝 Rational Functions Limits
📝 Sampling Pitfalls
📝 Some Basic Limits
📝 Squeezing Theorem
📝 Tangent Lines and Limits
📝 Two Sided Limit Definition Motivation
📝 Value of δ Not Unique
📝 Vertical Asymptotes

📝 Sample Questions

Q1. The exact area under \(f(x)=x\) on \([0,1]\) is:

🔹 A. \(0\)

🔹 B. \(\frac{1}{2}\)

🔹 C. \(1\)

🔹 D. \(2\)

💡 Difficulty: easy | ✅ Correct: B

Q2. What is \(\lim_{x\to -2} \frac{1}{x+2}\)?

🔹 A. \(+\infty\)

🔹 B. \(-\infty\)

🔹 C. 0

🔹 D. Does not exist

💡 Difficulty: medium | ✅ Correct: D

Q3. What is \(\lim_{x\to 0^+} \frac{\sin x}{x^2}\)?

🔹 A. \(+\infty\)

🔹 B. \(-\infty\)

🔹 C. 0

🔹 D. Does not exist

💡 Difficulty: hard | ✅ Correct: A

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