5. Determine if the following series converge conditionally, converge absolutely, or diverge. Justify your steps and cite the appropriate theorems and convergence/divergence tests. • (−1)"√n³ — 1 4n-1 n=1 b)Σ(³t+n)" 5n n=1 c) Σ cos (1) (-1)-1 5n²-4n+3 •[= Σ 4" 3n+7″

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Determine if the following series converge conditionally, converge absolutely, or
diverge. Justify your steps and cite the appropriate theorems and
convergence/divergence
tests.
n=1
(-1)"√√n³-1
4n-1
3+
b) Σ(³+n)"
5n
n=1
c) Σ cOS (1/3)
(-1)-1
α)Ÿ= 5n²-4n+3
n=1
n=1
4"
3n+7n
Transcribed Image Text:5. Determine if the following series converge conditionally, converge absolutely, or diverge. Justify your steps and cite the appropriate theorems and convergence/divergence tests. n=1 (-1)"√√n³-1 4n-1 3+ b) Σ(³+n)" 5n n=1 c) Σ cOS (1/3) (-1)-1 α)Ÿ= 5n²-4n+3 n=1 n=1 4" 3n+7n
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