In: Math
Suppose gg is a function which has continuous derivatives, and that g(1)=1,g′(1)=5, g″(1)=4, g‴(1)=2
(a) What is the Taylor polynomial of degree 2
for g near 1?
P2(x)=
(b) What is the Taylor polynomial of degree 3
for g near 1?
P3(x)=
(c) Use the two polynomials that you found in
parts (a) and (b) to approximate g(1.1).
With P2, g(1.1)≈
With P3, g(1.1)≈