3. 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 1148 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? Vee R*, 3NZ, Vn e Z, np N→ L-e

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 76E
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3. 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
1140
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?
VEER, ENZ, VneZ,n> NL-e <an<L+ €
Write the negation of the statement.
Transcribed Image Text:3. 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 1140 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? VEER, ENZ, VneZ,n> NL-e <an<L+ € Write the negation of the statement.
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