Find the radius of convergence and interval of convergence of the series. Xn6 6n! n 3 We will use the Ratio Test to determine the radius of convergence. We have x7 an1 6(n+ 1)! lim n co lim = an n co 6n! 6 xn+7 lim n o6(n 1)! 9+ux

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Find the radius of convergence and interval of convergence of the series.
Xn6
6n!
n 3
We will use the Ratio Test to determine the radius of convergence.
We have
x7
an1
6(n+ 1)!
lim
n co
lim
=
an
n co
6n!
6
xn+7
lim
n o6(n 1)!
9+ux
Transcribed Image Text:Find the radius of convergence and interval of convergence of the series. Xn6 6n! n 3 We will use the Ratio Test to determine the radius of convergence. We have x7 an1 6(n+ 1)! lim n co lim = an n co 6n! 6 xn+7 lim n o6(n 1)! 9+ux
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