* Reading Outline, Sec3.9 * ---------------------------------------- * Vocabulary/Definitions * - Tangent line approximation - Local linearization - Error in the tangent line approximation - lim{x->a} E(x)/(x - a) - What E(x) is approximately equal to near x=a * Understand * 1. What is the tangent line approximation to f(x) = cos(x) near x=pi/3? 2. Find a formula for the error E(x) in your approximation in (1). 3. For your E(x), fill in the following table: x E(x)/(x-pi/3) E(x)\over (x-pi/3)^2 (pi/3)+0.1 (pi/3)+0.01 (pi/3)+0.001 (pi/3)+0.0001 How does this illustrate what you found in the Vocabulary/Definitions section of this assignment?