Question: Suppose g is a function which has continuous derivatives, and that g(2) = 2, g'(2) = -1, g(2) = 5, g(2) = 2. (a) What

Suppose g is a function which has continuous derivatives, and that g(2) = 2, g'(2) = -1, g"(2) = 5, g"(2) = 2. (a) What is the Taylor polynomial of degree 2 for g near 2? P2() = (b) What is the Taylor polynomial of degree 3 for g near 2? P3(I) (c) Use the two polynomials that you found in parts (a) and (b) to approximate g(2.1) With P2 g(2.1) ~ With P3. g(2.1) ~

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