Suppose g is a function which has continuous derivatives, and thatg(5) =3 , g' (5) = -2
g'' (5) =1, g'''(5) = -3
a) What is the Taylor polynomial of degree 2 for g near 5? What isthe Taylor polynomial of degree 3 for g near 5? Please showwork.
b) Use the two polynomials that you found in part (a) toapproximate g(4.9). Please show work.