B. For each of the following series, using no tests besides the nth Term and Comparison Tests, determine whether the series converges, diverges to ±00, or diverges, not to to. Don't try to find what the series converges to. i. Σ cos²(2n+3)/(3n²-2) ii. [1/(n-rt) iii. Σ(n-1)/(n³ + 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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B. For each of the following series, using no tests besides the nth Term and Comparison Tests, determine whether the series converges, diverges to too, or diverges, not to too. Don't try to find what the series converges to.
i. Σ cos²(2n+3) / (3n²-2)
ii.
1/(n - π)
iii. [ (n-1) / (n³ + 1)
Transcribed Image Text:B. For each of the following series, using no tests besides the nth Term and Comparison Tests, determine whether the series converges, diverges to too, or diverges, not to too. Don't try to find what the series converges to. i. Σ cos²(2n+3) / (3n²-2) ii. 1/(n - π) iii. [ (n-1) / (n³ + 1)
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