BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095
BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095

Solutions

Chapter 9.7, Problem 12E

(a)

To determine

To calculate: The Maclaurin polynomials P2,P3,P4 for the function given in the question, that is, f(x)=x2ex.

(b)

To determine

To graph: The Maclaurin polynomials, which are P2,P3,P4, and the function, f(x)=x2ex.

(c)

To determine

To calculate: The value of fnn(0) and Pnn(0) in case of f(x)=x2ex when n=2,3,4

(d)

To determine

The conjecture about, fnn(0) and Pn(n)(0), from the result obtained in part (c) when n=2,3,4 as:

n fnn(0) Pn(n)(0)
2 2 2
3 6 6
4 12 12

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