Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) f(x) = (cos(x4))2 f(x) = = ( Ο Σ n = 0 (-1)" (2x4¹) 2n (2n!) X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Find the Maclaurin series for the function. (Use the table of power series for elementary functions.)
f(x) = (cos(x4))²
2n
∞
1
f(x) =
() = /²/ (1 + (-1) ² (2+4) 27
Σ
2
(2n!)
n = 0
X
)
Transcribed Image Text:Find the Maclaurin series for the function. (Use the table of power series for elementary functions.) f(x) = (cos(x4))² 2n ∞ 1 f(x) = () = /²/ (1 + (-1) ² (2+4) 27 Σ 2 (2n!) n = 0 X )
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