Question

Calculating the maximum error of Taylor Polynomials: Can anyone explain how to do this?
I have it solved to the third degree, but did another two degrees out just in case:

2+2 sqrt(3) (x-pi/3)+7 (x-pi/3)^2+(23 (x-pi/3)^3)/sqrt(3)+305/12 (x-pi/3)^4+(1681 (x-pi/3)^5)/(20 sqrt(3))