By showing that any sequence in A ∪ L has the same limit as some sequence in A, prove that A ⊆ A ∪ L, where L is the set of accumulation points of sequences in A.
By showing that any sequence in A ∪ L has the same limit as some sequence in A, prove that A ⊆ A ∪ L, where L is the set of accumulation points of sequences in A.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 64E
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D. By showing that any sequence in A ∪ L has the same limit as some sequence in A, prove that A ⊆ A ∪ L, where L is the set of accumulation points of sequences in A.
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