Express the f(x)= 2x + 6 x² +6x+5 Ž (-18(6+ 5111) 2² n=0 52+1 ○ Ž (− 1)²(1 + 5241) 2² n=0 00 Σ(-1)"x" n=0 on as a power series by first using partial fractions. Ž(1-21) n=0 회 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 26RE
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Express the function as a power series by first using partial fractions.
2x + 6
x2 + 6x + 5
f(x)=
ㅇ
화-10+
n = 0
n = 0
0
-1)"|
(-1)7x2
n = 0
퇴
∑|1
n =0\
1
2²+1
퇴
n=0 5n+1
1
52+1
1
52+1
Transcribed Image Text:Express the function as a power series by first using partial fractions. 2x + 6 x2 + 6x + 5 f(x)= ㅇ 화-10+ n = 0 n = 0 0 -1)"| (-1)7x2 n = 0 퇴 ∑|1 n =0\ 1 2²+1 퇴 n=0 5n+1 1 52+1 1 52+1
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