1. The problem statement, all variables and given/known data What degree Taylor Polynomial around a = 0(MacLaurin) is needed to approximate cos(0.25) to 5 decimals of accuracy? 2. Relevant equations taylor series....to complicated to type out here remainder of nth degree taylor polynomial = |R(x)| <= M/(n+1)! * |x - a|^(n+1) where a = 0 in this case and M >= |f^(n+1)(t)| 3. The attempt at a solution I don't really get this question at all. I know that |R(0.25)| = 0.00001 <= M/(n+1)! * |x - a|^(n+1) But how do I get M when |f^(n+1)(t)| is unknown? I don't even know what |f^(n+1)(t)| means!