We have found the following Maclaurin series. x4n 142n (2n)! Now we can use this to find the Maclaurin series of the given function, treating the term 13x as a constant and using the rule can = cªn. f(x) = 13x cos 05 (1141+²2) cos(4x²) = (-1)^- n = 0 = 13x ‹ Ë (−1)”. n = 0 = - Σ n = 0 (-1)". x4n 142n (2n)! 4n+1 142 (2n)! X
We have found the following Maclaurin series. x4n 142n (2n)! Now we can use this to find the Maclaurin series of the given function, treating the term 13x as a constant and using the rule can = cªn. f(x) = 13x cos 05 (1141+²2) cos(4x²) = (-1)^- n = 0 = 13x ‹ Ë (−1)”. n = 0 = - Σ n = 0 (-1)". x4n 142n (2n)! 4n+1 142 (2n)! X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Step 2
We have found the following Maclaurin series.
Now we can use this to find the Maclaurin series of the given function, treating the term 13x as a constant and using the rule can
1
f(x) = 13x cos (x²)
14
00
= 13× Σ (1)". 142n (2n)!
tan
n = 0
=
cos(-1⁄4ײ) = [ (-1)^
COS
n = 0
∞
A
n = 0
(-1)"
An+1
+An
142n (2n)!
X
14²n (2n)!
X
=cӪn.
C
an
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