Taylor Polynomial

[NeedHelpMathIsHard]

I think I have gotten the first part, but I am not sure what to do next for the second part.

 

[HallsofIvy]

I suspect that your text book states an estimate for the error. Or you could have searched on line for it, getting a number of hits, like taylor polynomial error bound - Bing which says \(\displaystyle R_n\le \frac{f^{(n+1)}(z)|x- a|^{n+1}}{(n+ 1)!}\) where \(\displaystyle f^{(n+1)}(z)\) is the n+1 derivative at z, a is the point at which the the Taylor series is centered, x is value at which the value is calculated, and z is some value between a and x.