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5. Give an example of sequences {an} and {bn} for which, as n → 0, → 00 a an + 0, bn → -00, an + bn + 11 b an + 00, bn - 00, an - bn с а, 0, bn → 00, anb,n d an » 0, bn → 00, anbn » 00 e an » 0, bn + 00, anb,n f an 0, bn → 00, anbn does not converge, nor does it diverge to oo or -0o.

5. Give an example of sequences {an} and {bn} for which, as n → 0, → 00 a an + 0, bn → -00, an + bn + 11 b an + 00, bn - 00, an - bn с а, 0, bn → 00, anb,n d an » 0, bn → 00, anbn » 00 e an » 0, bn + 00, anb,n f an 0, bn → 00, anbn does not converge, nor does it diverge to oo or -0o.

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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5. Give an example of sequences {an} and {bn} for which, as n → 0, → 00 a an + 0, bn → -00, an + bn b an + 00, bn - 00, an - bn + 11 с а, 0, bn → 00, anb,n d an » 0, bn → 00, anbn » 00 e an → 0, bn – 00, anbn 1 0, b. 00, anbn does not converge, nor does it diverge to ∞ or -. f an
Transcribed Image Text:5. Give an example of sequences {an} and {bn} for which, as n → 0, → 00 a an + 0, bn → -00, an + bn b an + 00, bn - 00, an - bn + 11 с а, 0, bn → 00, anb,n d an » 0, bn → 00, anbn » 00 e an → 0, bn – 00, anbn 1 0, b. 00, anbn does not converge, nor does it diverge to ∞ or -. f an
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