3. Determine whether the following series converges, and if so, find its sum. n? (a) E 22n71-n (b) Σ n5/3 =1 Σ 7n2 + 5n + 3 (n + 1)(n + 2) n=1 n=1 4. For the following series, confirm that the integral test is applicable, and use it to determine whether the series converges 1+ n2 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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3. Determine whether the following series converges, and if so, find
its sum.
n?
(a) E |22n71-n
(b) Σ
n5/3
Σ
7n2 + 5n + 3
(n + 1)(n + 2)
n=1
n=1
n=1
4. For the following series, confirm that the integral test is applicable,
and use it to determine whether the series converges
1+ n2
n=.
Transcribed Image Text:3. Determine whether the following series converges, and if so, find its sum. n? (a) E |22n71-n (b) Σ n5/3 Σ 7n2 + 5n + 3 (n + 1)(n + 2) n=1 n=1 n=1 4. For the following series, confirm that the integral test is applicable, and use it to determine whether the series converges 1+ n2 n=.
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