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Math 400 Page 1 of 1 Worksheet Calculus Section 2.5 Precise Definition of a Limit aka Epsilon-Delta Proofs (Sec. 2.5) Definition Let flx) be defined for all x# a over an open interval containing a. Let L be a real number. Then Jim fo) = L. if, for every e> 0, there exists a 6 > 0, such that if 0 < Įx – a] < 8, then [f(x) – L] < e. Prove the following statements using the e, 8 definition of a limit. 1. lim (4x – 7) = 5

Math 400 Page 1 of 1 Worksheet Calculus Section 2.5 Precise Definition of a Limit aka Epsilon-Delta Proofs (Sec. 2.5) Definition Let flx) be defined for all x# a over an open interval containing a. Let L be a real number. Then Jim fo) = L. if, for every e> 0, there exists a 6 > 0, such that if 0 < Įx – a] < 8, then [f(x) – L] < e. Prove the following statements using the e, 8 definition of a limit. 1. lim (4x – 7) = 5

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Los Rios Hub а CHEM300 Le 3 eServices ses G cup of coffee x M 77 F to C 77 O Los Rios Hub A M2: Class Wor My Questions G Google Accou + A Irccd.instructure.com/courses/152774/assignments/3422389 A Guest Sec 2.5 Epsilon Delta Proofs.docx I Download A Alternative formats O Info × Close ZOOM + Math 400 Page 1 of 1 Calculus Section 2.5 Worksheet Precise Definition of a Limit aka Epsilon-Delta Proofs (Sec. 2.5) Definition Let f(x) be defined for all x# a over an open interval containing a. Let L be a real number. Then Jim f(x) = L if, for every e > 0, there exists a ô > 0, such that if 0 < x – al < 8, then |f(x) – L| < e. Prove the following statements using the ɛ, 8 definition of a limit. 1. lim (4x – 7) = 5 x-3 1 9:51
Transcribed Image Text:Los Rios Hub а CHEM300 Le 3 eServices ses G cup of coffee x M 77 F to C 77 O Los Rios Hub A M2: Class Wor My Questions G Google Accou + A Irccd.instructure.com/courses/152774/assignments/3422389 A Guest Sec 2.5 Epsilon Delta Proofs.docx I Download A Alternative formats O Info × Close ZOOM + Math 400 Page 1 of 1 Calculus Section 2.5 Worksheet Precise Definition of a Limit aka Epsilon-Delta Proofs (Sec. 2.5) Definition Let f(x) be defined for all x# a over an open interval containing a. Let L be a real number. Then Jim f(x) = L if, for every e > 0, there exists a ô > 0, such that if 0 < x – al < 8, then |f(x) – L| < e. Prove the following statements using the ɛ, 8 definition of a limit. 1. lim (4x – 7) = 5 x-3 1 9:51
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