Chapter 11.11, Problem 9E
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Multivariable Calculus
8th Edition
James Stewart
ISBN: 9781305266643
Solutions
Chapter
Section
BuyFindarrow_forward
Multivariable Calculus
8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem
Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.
9. f(x) = xe−2x, a = 0
To determine
To find: The Taylor polynomial
Explanation
Formula used:
Taylor polynomial:
Let nth degree Taylor polynomial of f at a is denoted by
And f is the sum of its Taylor series,
Calculation:
The given function is
The first derivative of
The second derivative is
The third derivative is
Chapter 11 Solutions
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