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📝 Tangent Lines and Limits

📖 From Calculus • 2. Limits and Continuity an Introduction • 75 questions available

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

🔄 Last updated: 2026-07-12

28
Easy Questions
31
Medium Questions
16
Hard Questions

📝 Sample Questions

Q1. What is the slope of the secant line through points \(P(1,1)\) and \(Q(x,x^2)\) on \(y=x^2\)?

🔹 A. \(\frac{x^2-1}{x-1}\)
🔹 B. \(\frac{x-1}{x^2-1}\)
🔹 C. \(x^2-1\)
🔹 D. \(\frac{1}{x-1}\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is \(\lim_{x\to 0} \frac{(1+x)^2-1}{x}\) equal to?

🔹 A. \(0\)
🔹 B. \(1\)
🔹 C. \(2\)
🔹 D. \(3\)

💡 Difficulty: medium | ✅ Correct: C

Q3. What is the equation of the tangent line to \(y=x^2+3x\) at \((1,4)\)?

🔹 A. \(y=5x-1\)
🔹 B. \(y=5x+1\)
🔹 C. \(y=3x+1\)
🔹 D. \(y=7x-3\)

💡 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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