a) Write down the Taylor series forf (x) = cos x centered at zero. You can state it from memory or go through the work to derive it. b) What is the Taylor series centered at zero forx2 cos (2x)? c)...

Extracted text: a) Write down the Taylor series forf (x) = cos x centered at zero. You can state it from memory or go through the work to derive it. b) What is the Taylor series centered at zero forx2 cos (2x)? c) Suppose you use the fourth-order Taylor polynomial for f(x) estimate COs(0. 1). What is the error or remainder in this calculation? You do not need to go through all the arithmetic to get the final answer - you can leave the answer unsimplified. = COS X to Paragraph