Q3. Determine whether the following series converges absolutely, converges condi- tionally, or diverges. (2) Σ (-1) n=1 (b) (-1)" (√n+1-√n); n=1 ∞ (0) Σ (-1)" ; el/n n (d) 2+3 3n+2 2₁ n sin² n 1+n²³ n=1 ∞ (e) Σ (-1) n=1 n √n³+2
Q3. Determine whether the following series converges absolutely, converges condi- tionally, or diverges. (2) Σ (-1) n=1 (b) (-1)" (√n+1-√n); n=1 ∞ (0) Σ (-1)" ; el/n n (d) 2+3 3n+2 2₁ n sin² n 1+n²³ n=1 ∞ (e) Σ (-1) n=1 n √n³+2
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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Transcribed Image Text:Q3.
Determine whether the following series converges absolutely, converges condi-
tionally, or diverges.
2n +3
3n+2
(2) Σ (-1)
n=1
∞
(b) (-1)" (√n+1-√√n);
n=
(0) Σ (-1)"
el/n
n
n sin² n
(1) Σ 1+n³
n=1
∞
(e) Σ (-1)"
n=1
•
;
n=1
n
√n³+2
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