Let lim(sn) = s. Prove that if the sequence (sn) is eventually contained in the closed interval

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Let lim(sn) = s. Prove that if the sequence (sn) is eventually contained in the closed interval [a, b], then s ∈[a, b]. Hint: First show that if there is some N ∈N such that for all n > N , sn ≥a, then s ≥a. Then do the same for sn ≤b.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Posted Date: Sep 27, 2022 02:24 AM

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Let lim(sn) = s. Prove that if the sequence (sn) is eventually contained in the closed interval

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lim Sn S etu Since So So Sn in eventually Sn a ... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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