Problem 4. Let (an) be a sequence such that an → 0, as n → ∞, and an # 0for all n =1, 2,.... Prove that+1An→ 0,An coSas n → x0.

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Answered: Problem 4. Let (an)1 be a sequence such…

Problem 4. Let (an)1 be a sequence such that am → 0, as n → 00, and a, 7 0 for all n = 1,2, . ... Prove that %3D 1 + 1 An An COS → 0, as n → X.

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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Problem 4. Let (an) be a sequence such that an → 0, as n → ∞, and an # 0
for all n =
1, 2,.... Prove that
+1
An
→ 0,
An coS
as n → x0.

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