Test the series for convergence or divergence using the Alternating Series Test. 00 Σ (-1) 12 n = 1 8" Identify b Evaluate the following limit. lim b n-∞ n Since lim b?0 and b, 'n n+1 b for all n >1, the series converges
Test the series for convergence or divergence using the Alternating Series Test. 00 Σ (-1) 12 n = 1 8" Identify b Evaluate the following limit. lim b n-∞ n Since lim b?0 and b, 'n n+1 b for all n >1, the series converges
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 73E
Question
Solve: sum n = 1 to infinity (-1) ^ n * (n^2)/(8^n)
Transcribed Image Text:Test the series for convergence or divergence using the Alternating Series Test.
00
Σ (-1) 12
n = 1
8"
Identify b
Evaluate the following limit.
lim b
n-∞
n
Since lim b?0 and b,
'n
n+1
b for all n >1, the series converges
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