For the function f(x) = cos(x), find (i) linear and quadratic approximations, and (ii) Maclaurin’s series expansion… [Full question continued]
Part a) Approximations and Maclaurin Series of f(x) = cos(x) i) Linear and Quadratic Approximations We are given: f(x) = cos(x) To find linear and quadratic approximations, we use the Taylor series around x = 0 (Maclaurin series). Step 1: Derivatives of cos(x) f(x) = cos(x) f'(x) = -sin(x) f”(x) = -cos(x) f”'(x) = sin(x) […]