Determine the convergence or divergence of the series. Use a symbolic algebra utility to verify your result. 00 n + 3 4n n = 1 n + 3 lim n→o 4n - 7 This series converges by the Test for Convergence of a Geometric Series because |r| 1 < 1. n + 3 This series diverges by the nth-Term Test because lim + 0. n→o 4n – .

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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Determine the convergence or divergence of the series. Use a symbolic algebra utility to verify your result.
00
n + 3
4n
n = 1
n + 3
lim
n→o 4n - 7
This series converges by the Test for Convergence of a Geometric Series because |r|
1
<
1.
n + 3
This series diverges by the nth-Term Test because lim
+ 0.
n→o 4n – .
Transcribed Image Text:Determine the convergence or divergence of the series. Use a symbolic algebra utility to verify your result. 00 n + 3 4n n = 1 n + 3 lim n→o 4n - 7 This series converges by the Test for Convergence of a Geometric Series because |r| 1 < 1. n + 3 This series diverges by the nth-Term Test because lim + 0. n→o 4n – .
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