If the terms of one sequence appearin another sequence in their given order, we call the first sequencea subsequence of the second. Prove that if two subsequencesof a sequence {an} have different limits L1 ≠ L2, then 5an6diverges.
If the terms of one sequence appearin another sequence in their given order, we call the first sequencea subsequence of the second. Prove that if two subsequencesof a sequence {an} have different limits L1 ≠ L2, then 5an6diverges.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 42E
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If the terms of one sequence appear
in another sequence in their given order, we call the first sequence
a subsequence of the second. Prove that if two subsequences
of a sequence {an} have different limits L1 ≠ L2, then 5an6
diverges.
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