Determine if the following series converge conditionally, converge absolutely, or diverge. Justify your steps and cite the appropriate theorems and convergence/divergence tests. a) Σ n=1 (-1)"√√n³-1 4n-1 b) Σ (3³ + n)" c) n=1 Σ n=1 COS (4) d) n=1 (-1)n-1 5n24n+3 n=1 4n 3n+7n

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
Question
Determine if the following series converge conditionally, converge absolutely, or
diverge. Justify your steps and cite the appropriate theorems and
convergence/divergence tests.
a)
Σ
n=1
(-1)"√√n³-1
4n-1
b) Σ (3³ + n)"
c)
n=1
Σ
n=1
COS
(4)
d)
n=1
(-1)n-1
5n24n+3
n=1
4n
3n+7n
Transcribed Image Text:Determine if the following series converge conditionally, converge absolutely, or diverge. Justify your steps and cite the appropriate theorems and convergence/divergence tests. a) Σ n=1 (-1)"√√n³-1 4n-1 b) Σ (3³ + n)" c) n=1 Σ n=1 COS (4) d) n=1 (-1)n-1 5n24n+3 n=1 4n 3n+7n
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