MAT 201 Study Guide - Squeeze Theorem, Critical Role
Document Summary
In this lecture, we"ll explore the concepts of limits and continuity, which are the building blocks of calculus. Limits and continuity play a critical role in understanding the behavior of functions and how they change over time. By mastering these concepts, you"ll be able to solve complex problems and gain a deeper understanding of calculus. Definition of limits and how to calculate them. The concept of continuity and its applications. Limits at infinity and how to calculate them. Limit: the limit of a function is the value that the function approaches as the variable approaches a certain value. Continuity: a function is continuous if it has no breaks or jumps, and its limit exists at every point. One-sided and infinite limits: a one-sided limit is the limit of a function as the variable approaches a certain value from either the left or the right.
