The function f(x) f(x) = [nx". n=0 C1 C2 Find the first few coefficients in the power series. CO = C3 || || || = C4 = 6 (1 – 4x) ² is represented as a power series Find the radius of convergence R of the series. R =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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The function f(x)
f(x) = [cnx".
n=0
C1
C2
Find the first few coefficients in the power series.
CO =
C3
||
||
||
=
C4 =
6
(1 — 4x) ²
is represented as a power series
Find the radius of convergence R of the series.
R =
Transcribed Image Text:The function f(x) f(x) = [cnx". n=0 C1 C2 Find the first few coefficients in the power series. CO = C3 || || || = C4 = 6 (1 — 4x) ² is represented as a power series Find the radius of convergence R of the series. R =
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