Question: Suppose g is a function which has continuous derivatives, and that g(5)=3, g(5)=3, g(5)=2, g(5)=2. (a) What is the Taylor polynomial of degree 2 for

Suppose g is a function which has continuous derivatives, and that g(5)=3, g(5)=3, g(5)=2, g(5)=2.

(a) What is the Taylor polynomial of degree 2 for g near 5?

P2(x)=

(b) What is the Taylor polynomial of degree 3 for g near 5?

P3(x)=

(c) Use the two polynomials that you found in parts (a) and (b) to approximate g(4.9).

With P2,g(4.9)

WithP3,g(4.9)

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