MATH C2210 CH2.3 One sided Limits

Calculus 1 — Chapter 2.3: One-Sided Limits and Trigonometric Limits In this lecture, we continue our study of Calculus by exploring the concept of limits from the left and the right. We discuss the transition from two-sided limits to one-sided limits when a graph has a break or jump, and work through a formal example verifying a trigonometric limit. CHAPTERS 0:00 Introduction to Limits from the Left and Right 4:43 Breaks, Jumps, and One-Sided Limits 10:52 Approaching a Limit from the Left 38:19 Verifying Trigonometric Limits 📘 PAUSE-AND-REFLECT PROMPTS Pause at these moments to practice the concepts before moving forward! ⏸️ 4:43 — One-Sided Limits: In your own words, what does it mean when a graph approaches two separate values from the left and the right? ⏸️ 10:52 — Graph Analysis: As we approach two from the left, the graph points to zero. How do we write this limit notation in expanded form? ⏸️ 38:19 — Trigonometric Limits: Pause and recall the rule for the limit of sine theta over theta. How do we use this to verify the left hand side equals the right hand side? 🎓 Dr. Maria Albert, B.S (Math)., M.S (Stats)., M.Phil (Stats)., Ed.D (Leadership) Tenured College Professor | Mathematics Founder & Chief Leadership Intelligence Officer, Academy of Wellbeing and Excellence LLC 🔔 Subscribe to @MariaAlbertAWE for more academic lectures and tutorials! 🌐 Learn more: www.aweleader.com ✉️ Contact: [email protected]