Question 6 Given a function f (x) = sin(x) + 2x. (a) Compute the first three terms of the Taylor series of f (x) about x = NIA ( b ) Use the Remainder Estimate to determine the maximum possible error of f (x) in the interval =, from its Taylor polynomial of degree 2 about the point x = Apply the Integral Inequality to prove that S tan (ITX) 12 X dx s In