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An convergence of

An convergence of

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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Determine the convergence of An where 1 аn — 1 — соs n Using br = An we find that lim br 1 n n→∞ 1 and since bn is (D), we conclude that an is (D) by the LCT. None of the given options is correct. Using br 1 we find that 1lim n2 br n→∞ 1 and since bn is (C), we conclude that an is (C) by the LCT Using bn 1 we find that 1 1 and since bn is (D), we - n An lim n→∞ b, 2 conclude that > an is (D) by the LCT. An we find that lim n→∞ bn 1 Using b, n2 1 and since b, is (C), we conclude that Ean is (C) by the LCT.
Transcribed Image Text:Determine the convergence of An where 1 аn — 1 — соs n Using br = An we find that lim br 1 n n→∞ 1 and since bn is (D), we conclude that an is (D) by the LCT. None of the given options is correct. Using br 1 we find that 1lim n2 br n→∞ 1 and since bn is (C), we conclude that an is (C) by the LCT Using bn 1 we find that 1 1 and since bn is (D), we - n An lim n→∞ b, 2 conclude that > an is (D) by the LCT. An we find that lim n→∞ bn 1 Using b, n2 1 and since b, is (C), we conclude that Ean is (C) by the LCT.
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