I need help understanding the wording of this problem. I think it wants me to write a Taylor Series polynomial for the arctanx....then im not really sure even where to go after that. With writing the polynomial...what does all the p(j) f(j) stuff getting at?

Give the unique polynomail p of degree <= 2 such that p^{(j)}(1)=f^{(j)}(1) for j=0,1,2.

determine a reasonable constat C such that abs(f(x) -p(x)) <= C(abs(x-1)^3 for all x that belongs to [1/2,3/2].