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Consider the definition of the limit of a sequence in calculus. We can say that the limit of a sequence an as n goes to infinity equals L and write this as: lim an L 114400 if and only if the values of an, become arbitrarily close to L as n gets larger and larger without bound. How can we express this more formally? VE ER*, 3NEZ, Vne 2, n > NL-e

Consider the definition of the limit of a sequence in calculus. We can say that the limit of a sequence an as n goes to infinity equals L and write this as: lim an L 114400 if and only if the values of an, become arbitrarily close to L as n gets larger and larger without bound. How can we express this more formally? VE ER*, 3NEZ, Vne 2, n > NL-e

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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Consider the definition of the limit of a sequence in calculus. We can say that the limit of a sequence an as n goes to infinity equals L and write this as: lim a, L 11-400 if and only if the values of a,, become arbitrarily close to L as n gets larger and larger without bound. How can we express this more formally? VE ER*, 3N EZ, Vne 2, n > NL-e <an<L+€ Write the negation of the statement.
Transcribed Image Text:Consider the definition of the limit of a sequence in calculus. We can say that the limit of a sequence an as n goes to infinity equals L and write this as: lim a, L 11-400 if and only if the values of a,, become arbitrarily close to L as n gets larger and larger without bound. How can we express this more formally? VE ER*, 3N EZ, Vne 2, n > NL-e <an<L+€ Write the negation of the statement.
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