Answered: (a) Find a power series representation… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Question

I don't know how to do B

(a) Find a power series representation for
f(x)
(9 + x)2
(-1)"(n+1)x"
f(x) = >
9"+2
n = 0
What is the radius of convergence, R?
R = 9
(b) Use part (a) to find a power series representation for
x3
f(x)
(9 + x)2
=
(n- 5)x"-3
(-9)"-4
F(x) = E
n = 0
What is the radius of convergence, R?
R = 11

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