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Which of the following series converges and which diverges? Find the sum of the convergent series. 1 00 Σ V2 Ans. Converges, 2+ v2 1) n=0 3 2) Ans. Converges, 1 2" n=1 00 3) Ecos(nz) Ans. Diverges n=0 -2n Ans. Converges, e? -1 4) n=0

Which of the following series converges and which diverges? Find the sum of the convergent series. 1 00 Σ V2 Ans. Converges, 2+ v2 1) n=0 3 2) Ans. Converges, 1 2" n=1 00 3) Ecos(nz) Ans. Diverges n=0 -2n Ans. Converges, e? -1 4) n=0

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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Which of the following series converges and which diverges? Find the sum of the convergent series. 1) E Ans. Converges, 2+v2 n=0 3 2) E(-1)*1. 2" n+1 Ans. Converges, 1 n=1 00 3) cos(nz) Ans. Diverges n=0 e? Ans. Converges, e? -1 00 ) Σε -2n n=0
Transcribed Image Text:Which of the following series converges and which diverges? Find the sum of the convergent series. 1) E Ans. Converges, 2+v2 n=0 3 2) E(-1)*1. 2" n+1 Ans. Converges, 1 n=1 00 3) cos(nz) Ans. Diverges n=0 e? Ans. Converges, e? -1 00 ) Σε -2n n=0
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