* Reading Outline, Sec1.7--1.8 * ---------------------------------------- * Vocabulary/Definitions * - Continuity of a function - Which functions are continuous - The Intermediate Value Theorem - Limit - Right- and left-hand limits - How a limit may not exist - What a limit at infinity is * Understand * 1. Suppose that f(x) = sin(x^2 + 3). Find f(1) and f(2). What do these in conjunction with the Intermediate Value Theorem tell you? 2. Use a graph to estimate lim {x to 0} { (1-cos(x)) / x}. Random other question: What error is made in the example of continuous functions given?