For the next three series, (a) determine the radius of convergence, (b) determine for which the series converges absolutely and (c) determine for which the series converges conditionally. x (3x - 2)" 3nn ¹2 1 2 3 Σn!(x-4)" n n! n=1 n=1 n=1
For the next three series, (a) determine the radius of convergence, (b) determine for which the series converges absolutely and (c) determine for which the series converges conditionally. x (3x - 2)" 3nn ¹2 1 2 3 Σn!(x-4)" n n! n=1 n=1 n=1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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Transcribed Image Text:For the next three series, (a) determine the radius of convergence, (b) determine for which the
series converges absolutely and (c) determine for which the series converges conditionally.
(3x − 2)"
3nn
1
2
3 Ση!(x −4)"
n
n!
n=1
n=1
n=1
4 Determine the radius of convergence for the series (2-5-8-- (3n-1),
2.4.6(2n)
2
2)D) ².
n=1
5 Determine the interval of convergence of the series (e²-4)" and within this interval determine the sum of
the series as a closed function of x.
n=0
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