Prove convergence or divergence for the following series. Be sure to be thorough and careful with your notation and evidence. 3" 1. Σ (2n)! 2. o (-1)"n³ n5+5 Ln=1 n=1 00 n 3. 4. n²e-n³ n+1, n=1 n=1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please answer only questions 3 and 4 in the screenshot. Please give a detailed explanation of the answer. 

Prove convergence or divergence for the following series. Be sure to be thorough and careful
with your notation and evidence.
3"
1. Σ
(2n)!
2. o (-1)"n³
n5+5
Ln=1
n=1
00
n
3.
4.
n²e-n³
n+1,
n=1
n=1
Transcribed Image Text:Prove convergence or divergence for the following series. Be sure to be thorough and careful with your notation and evidence. 3" 1. Σ (2n)! 2. o (-1)"n³ n5+5 Ln=1 n=1 00 n 3. 4. n²e-n³ n+1, n=1 n=1
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