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2. For which of the following series does the ratio test ensure divergence? Select all that apply. n=1 n=1 8 n=1 n=1 M& n=1 31 + n! 2n + 3 n! 2n! NI (n!)² (2n)! + 13 + 2.5 1.5 en 3.5 3.5.7 1.3 1.3.5 1.3 1.3.5 + 3.5 3.5.7 (n²)! Σ (2n)! n=1 + (n+1) 2n (n + 1)! 1.5 + 2 2.5 2.5.8 1.5.9 + + 1.5.9 2.5.8 + + + + + + + + 1) 2.5.8.(3n- 1.5.9 (4n-3) ... - 3.5.7 (2n+1) 1.3.5... (2n - 1) 1.3.5 (2n-1) 3.5.7 (2n +1) 1.5.9...(4n 3) 2.5.8(3n 1) + + +

2. For which of the following series does the ratio test ensure divergence? Select all that apply. n=1 n=1 8 n=1 n=1 M& n=1 31 + n! 2n + 3 n! 2n! NI (n!)² (2n)! + 13 + 2.5 1.5 en 3.5 3.5.7 1.3 1.3.5 1.3 1.3.5 + 3.5 3.5.7 (n²)! Σ (2n)! n=1 + (n+1) 2n (n + 1)! 1.5 + 2 2.5 2.5.8 1.5.9 + + 1.5.9 2.5.8 + + + + + + + + 1) 2.5.8.(3n- 1.5.9 (4n-3) ... - 3.5.7 (2n+1) 1.3.5... (2n - 1) 1.3.5 (2n-1) 3.5.7 (2n +1) 1.5.9...(4n 3) 2.5.8(3n 1) + + +

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. For which of the following series does the ratio test ensure divergence? Select all that apply. n=1 n=1 8 n=1 2n! n=1 0 2 2.5 + 1 1.5 n=1 3 113 + n= + IME n! 2n + 3 (n!)² (2n)! + (n+1) ²n (n + 1)! + 2 2.5.8 1.5.9 3.5 3.5.7 1.3 1.3.5 + 1.3 1.3.5 + 3.5 3.5.7 (n²)! (2n)! 1.5 1.5.9 + 2.5 2.5.8 + + + + + + + + 2.5.8... (3n 1) + 1.5.9 (4n - 3) 3.5.7 1.3.5.. 1.3.5 3.5.7 (2n + 1) (2n-1) (2n-1) (2n + 1) 1.5.9...(4n 3) 2.5.8(3n 1) + + +
Transcribed Image Text:2. For which of the following series does the ratio test ensure divergence? Select all that apply. n=1 n=1 8 n=1 2n! n=1 0 2 2.5 + 1 1.5 n=1 3 113 + n= + IME n! 2n + 3 (n!)² (2n)! + (n+1) ²n (n + 1)! + 2 2.5.8 1.5.9 3.5 3.5.7 1.3 1.3.5 + 1.3 1.3.5 + 3.5 3.5.7 (n²)! (2n)! 1.5 1.5.9 + 2.5 2.5.8 + + + + + + + + 2.5.8... (3n 1) + 1.5.9 (4n - 3) 3.5.7 1.3.5.. 1.3.5 3.5.7 (2n + 1) (2n-1) (2n-1) (2n + 1) 1.5.9...(4n 3) 2.5.8(3n 1) + + +
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