In this unit, students will explore the foundational concept of calculus: the limit. They will investigate how functions behave as inputs approach specific values, infinity, or negative infinity, and how this idea connects to continuity and the behavior of curves. Through multiple representations — graphs, tables, algebra, and formal reasoning — students will build a strong understanding of limits and their role as the gateway to derivatives and integrals.
Choose a lesson from the list below:
Lesson 1.1: Introducing Calculus: Can Change Occur at an Instant?
Lesson 1.5: Determining Limits Using Algebraic Properties of Limits
Lesson 1.14: Connecting Infinite Limits and Vertical Asymptotes
Lesson 1.15: Connecting Limits at Infinity and Horizontal Asymptotes
Lesson 1.16: Working with the Intermediate Value Theorem (IVT)