Let {xn} be a sequence in R with xn → a. Use the definition of a compact set to prove the set {xn : n ∈ N} ∪ {a} is compact
Let {xn} be a sequence in R with xn → a. Use the definition of a compact set to prove the set {xn : n ∈ N} ∪ {a} is compact
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 51E: Given the recursively defined sequence a1=1,a2=4, and an=2an1an2+2, use complete induction to prove...
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Let {xn} be a sequence in R with xn → a. Use the definition of a compact set to prove the set
{xn : n ∈ N} ∪ {a} is compact.
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