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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
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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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
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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