Test the following series for convergence or divergence. If the series converges, determine whether it is absolutely or conditionally convergent: (a). 1. / (b). (c). 1 ∞ n=1 ∞ ∞ (-1) n. n=1 n=1 (-2) n³ √n+1-√n n Σ(-1)n-1 (n-1) n² + 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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1. /
(b).
1
converges, determine whether it is absolutely or conditionally convergent:
(a).
(c).
Test the following series for convergence or divergence. If the series
∞
n=1
∞
로
n=1
(−1)n.
n=1
(-2)n
n³
√n+1-√n
n
Σ(-1)n-1 (n-1)
n² + 1
Transcribed Image Text:1. / (b). 1 converges, determine whether it is absolutely or conditionally convergent: (a). (c). Test the following series for convergence or divergence. If the series ∞ n=1 ∞ 로 n=1 (−1)n. n=1 (-2)n n³ √n+1-√n n Σ(-1)n-1 (n-1) n² + 1
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