Suppose that f(x) and g(x) are given by the power series f(x) = 7+ 4x + 3x² + 3x³ +... and g(x) = 35+34x + 51x² +51x³+.... By dividing power series, find the first few terms of the series for the quotient h(x) = = co+c₁x + ₂x² + 3x³ +.... g(x) f(x) 11 C1 = S 11 C2= 3 ||

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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Suppose that f(x) and g(x) are given by the power series
f(x) = 7+ 4x + 3x² + 3x³ + ...
and
g(x) = 35+34x + 51x² +51x³ +.
By dividing power series, find the first few terms of the series for the quotient
h(x) =
co=
C1 =
C2
||
C3=
g(x)
f(x)
=
= co + C₁x + c₂x² + 3x³ +....
Transcribed Image Text:Suppose that f(x) and g(x) are given by the power series f(x) = 7+ 4x + 3x² + 3x³ + ... and g(x) = 35+34x + 51x² +51x³ +. By dividing power series, find the first few terms of the series for the quotient h(x) = co= C1 = C2 || C3= g(x) f(x) = = co + C₁x + c₂x² + 3x³ +....
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