Taylor Polynomial Error--Please help! Use Taylor's theorem to determine the degree of the Maclaurin polynomial required for the error in the approximation of the function to be less than .001. e^.3 So is the procedure to take the derivatives and plug in 0 (since c=0) and find an expression for the n+1 derivative? f'(c) = 1 f''(c)=1 f'''(c) =1 ...... so the n+1 derivative is 1 So Rn= 1/(n+1)! * (.3) ^(n+1) Then I set up an equality to find n so that Rn < .001 and n = 3 ??? I want to be sure I am taking the right approach on these problems, so is this the way to do it?