= ( 4+x)-³. 00 n=0 00 00 118 00 (-1)^(n+1) (n + 2)x" in +3 2.4" (-1)^(n+4)! 2n! (-1)" (n+1) (n + 2) x^ 3 2-4³ (-1)" (n + 1) (n + 2) x²-1 +3 2. (n+3)! 2n! none of those

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Find the Maclaurin series for f(x) using the definition of a Maclaurin series.
f(x) = ( 4 + x)-³.
O (-1)" (n + 1) (n + 2) x^
2.4 +3
n=0
O(-1)(n+4)!
O (-1)" (n+1) (n + 2)x²
3
2.4
n=0
2n!
) (-1)" (n + 1) (n + 2)x"¯
n = 0
2.
00
(n+3)!
2n!
none of those
Transcribed Image Text:Find the Maclaurin series for f(x) using the definition of a Maclaurin series. f(x) = ( 4 + x)-³. O (-1)" (n + 1) (n + 2) x^ 2.4 +3 n=0 O(-1)(n+4)! O (-1)" (n+1) (n + 2)x² 3 2.4 n=0 2n! ) (-1)" (n + 1) (n + 2)x"¯ n = 0 2. 00 (n+3)! 2n! none of those
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