Which of the following statements is equivalent to the assertion lim a, = L?Explain. 71. |(a) For every e > 0, the interval (L - e, L+€) contains at least one element of the sequence {a,}. (b) For every e > 0, the interval (L - €, L + €) contains all but at most finitely many elements of the sequence {a,}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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Which of the following statements is equivalent to the assertion lim a, = L?Explain.
71.
|(a) For every e > 0, the interval (L - e, L+€) contains at least one element of the sequence {a,}.
(b) For every e > 0, the interval (L - €, L + €) contains all but at most finitely many elements of the
sequence {a,}.
Transcribed Image Text:Which of the following statements is equivalent to the assertion lim a, = L?Explain. 71. |(a) For every e > 0, the interval (L - e, L+€) contains at least one element of the sequence {a,}. (b) For every e > 0, the interval (L - €, L + €) contains all but at most finitely many elements of the sequence {a,}.
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