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(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). ∞ ∞ (a) Σ n 2n (b) n2+1 n! n=1 n=1 ∞ շո (c) Σ 1+2n n=0 (α) Σ ΣΣΣ (e) (-1)+1 +1 n=1 n=1 n! 1 (f) 3n+2' n=1 (2n)!*

(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). ∞ ∞ (a) Σ n 2n (b) n2+1 n! n=1 n=1 ∞ շո (c) Σ 1+2n n=0 (α) Σ ΣΣΣ (e) (-1)+1 +1 n=1 n=1 n! 1 (f) 3n+2' n=1 (2n)!*

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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(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). ∞ (a) Σ n 2n (b) n2+1 n=1 n=1 n! ∞ (α) Σ n=1 n² n4 +1 (e) (-1)+1 n=1 1 ∞ (©) Σ շո 1+2n n=0 ∞ 1 n! (f) 3n+2' n=1 (2n)!*
Transcribed Image Text:(2) Determine whether the following series converge. Rigorously justify your answers (using the convergence tests from the lecture). ∞ (a) Σ n 2n (b) n2+1 n=1 n=1 n! ∞ (α) Σ n=1 n² n4 +1 (e) (-1)+1 n=1 1 ∞ (©) Σ շո 1+2n n=0 ∞ 1 n! (f) 3n+2' n=1 (2n)!*
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