In this problem we are going to approximate the function f(x) = cos(x) about x = 0 using a simple function of the form 1 +a.x2 8(x) = 1+b. x2 The goal will be to find the best parameters a and b. (a) [5 marks] Find the Taylor series of , about x = 0. (b) [5 marks] Use your answer to part (a) to find the first three non-zero terms of the Taylor series for g(x) about x = 0. (c) [5 marks] Find the parameters a and b which guarantee that your answer to part (b) agrees with the first