an a if there exists no such that for all n > no and for all e > 0, an a < e. Let (an) be a sequence of real numbers. a) If an a, does it follow that an → a? (Give a proof that this is the case, or an example showing this is not the case.) b) If an → a, does it follow that an a? (Give a proof that this is the case, or an example showing this is not the case.)

an a if there exists no such that for all n > no and for all e > 0, an a < e. Let (an) be a sequence of real numbers. a) If an a, does it follow that an → a? (Give a proof that this is the case, or an example showing this is not the case.) b) If an → a, does it follow that an a? (Give a proof that this is the case, or an example showing this is not the case.)

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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