Worksheet 9.2 Taylor Polynomials - Calculus Maximus Page 4
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8Calculus Maximus
WS 9.2: Taylor Polynomials
12. (Calculator Permitted) Suppose that g is a function which has continuous derivatives, and that
g
g
g
,
,
,
g
(5) 3
(5)
2
(5) 1
(5)
3
(a) What is the Taylor polynomial of degree 2 for g near 5? What is the Taylor polynomial of degree 3
near 5?
(b) Use the two polynomials that you found in part (a) to approximate (4.9)
g
.
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