We are interested in the function an) = m2(cos(2m)) 1. Find the Taylor polynomial of degree 8 for this function, centered at 0. 2. Use the Taylor polynomial to approximate f (0.6). , 3. Find an upper bound for the error for this approximation. Explain your answer in a full sentence using one of our theorems from class. 4. Suppose you used the same polynomial to approximate f(0.4). Without doing any calculations, would you expect the error bound for this new approximation to be greater or less than the one found in the previous question? Why? Explain your answer in a full sentence. You will upload your work for this question as a PDF or image file below. Please be sure to check the file first to be sure 1 can read it! if! cant read all your work, then I cannot give you credit for the question Note: Your initial score for this problem will be zero, because I have to grade it by hand, and that will take a little while. Your score will be updated once I have graded it