suppose g is a function which has continuous derivatives, and that g ( 0 ) = − 15 , g ′ ( 0 ) = 4 , g ′′ ( 0 ) = − 9 and g ′′′ ( 0 ) = − 15 . What is the Taylor polynomial of degree 2 for g, centered at a = 0? T_2(x) = What is the Taylor polynomial of degree 3 for g, centered at a = 0? T_3(x) = Use T_2(x) to approximate g(0.1) almost equal to Use T_3(x) almost equal to