Express xcos(x²) as a power series use the power series of cosx

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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Express xcos
s(x²)
as a power series use the power series of cosx
Transcribed Image Text:Express xcos s(x²) as a power series use the power series of cosx
x2
+ ... = T0 (-1)*x2k
Zk=0
COSX = 1 -
+
+
6!
(-1)kx2k
for |x| < ∞
-
•..
2!
4!
(2k)!
(2k)!
Transcribed Image Text:x2 + ... = T0 (-1)*x2k Zk=0 COSX = 1 - + + 6! (-1)kx2k for |x| < ∞ - •.. 2! 4! (2k)! (2k)!
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