Use the Comparison Test to determine if the series 5n – cos 2n - n³ + n² + 1 n=1 converges or diverges.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 56E
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[1] I am having a hard time solving this problem, can someone answer this one through comparison test only, meaning doesn't have to use the limit comparison test and please provide a compact solution not a shortcut solution. Thank you.

3. Use the Comparison Test to determine if the series
5n
Cos 2n
n3 + n2 +1
n=1
converges or diverges.
Transcribed Image Text:3. Use the Comparison Test to determine if the series 5n Cos 2n n3 + n2 +1 n=1 converges or diverges.
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