Use the limit comparison test to prove that the series converges or diverges. (a) 2n +4n-n² 5n+n³ +4√√n (b) 4n5/2 +5n³/2-3n+1 n¹1/3 + 2n³/2 — n¹/³ – 1 n7/³-n²ln(n) - n7/4 (c) Σ n³/2 +2n4/³(ln(n))² — n n=100

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Use the limit comparison test to prove that the series converges or diverges.
2n +4n-n²
5n+n³ +4√√n
(2) Σ
n=1
(b)
(c)
n=4
An5/2 +5n³/2 - 3n+1
n11/3 + 2n³/2 - n¹/3 - 1
n=100
-
n7/³ – n² ln(n) — n²/4
n³/2 + 2n4/³(ln(n))² — n
Transcribed Image Text:3. Use the limit comparison test to prove that the series converges or diverges. 2n +4n-n² 5n+n³ +4√√n (2) Σ n=1 (b) (c) n=4 An5/2 +5n³/2 - 3n+1 n11/3 + 2n³/2 - n¹/3 - 1 n=100 - n7/³ – n² ln(n) — n²/4 n³/2 + 2n4/³(ln(n))² — n
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