'Use an appropriate test to determine the convergence or divergence of the series. Identify the test used. 3. (3+ n² + nª)² (5 + n + n³)³ n² + 2° n! - 2" (a) (b) E (c) arctan n² + (2n)! n=3 n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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'Use an appropriate test to determine the convergence or divergence of the series. Identify
the test used.
3.
(3+ n² + nª)²
(5 + n + n³)³
n² + 2°
n! - 2"
(a)
(b) E
(c)
arctan
n² +
(2n)!
n=3
n=1
Transcribed Image Text:'Use an appropriate test to determine the convergence or divergence of the series. Identify the test used. 3. (3+ n² + nª)² (5 + n + n³)³ n² + 2° n! - 2" (a) (b) E (c) arctan n² + (2n)! n=3 n=1
Expert Solution
Step 1

Ratio test , Cauchy and comparison test are used to check the convergence of the series

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