Prove: If s S6sn for all n EN and if both sn Land un+ L, where LE R, then t - L asn- 0 as well. That is, prove that if e> 0 then there exists NENsuch that n2No t-L
Prove: If s S6sn for all n EN and if both sn Land un+ L, where LE R, then t - L asn- 0 as well. That is, prove that if e> 0 then there exists NENsuch that n2No t-L
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A. Prove: If s < t. < ua for all n EN and if both sn - L and u,n+ L, where LE R, then
t -Las n o0 as well. That is, prove that if e> 0 then there exists N EN such that
It. -LI<e (This is sometimes called the squeeze theorem.)
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