(2) Consider this almost complete e-d proof below that attempts to prove lim (2x + 5) = 13. x→4 Find the 8 (or condition on d i.e. 8< something) that completes our proof. Proof. Let e > 0 and suppose |x – 4| < 8. Then we have |2x + 5 – 13| = |2x – 8| = 2|x – 4| < 28

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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(2) Consider this almost complete e-d proof below that attempts to prove
lim (2x + 5) = 13.
x→4
Find the & (or condition on 8 i.e. § < something) that completes our proof.
Proof. Let e > 0 and suppose x – 4 < 8. Then we have
-
|2x + 5 – 13| = |2x – 8| = 2|x – 4| < 28
-
Transcribed Image Text:(2) Consider this almost complete e-d proof below that attempts to prove lim (2x + 5) = 13. x→4 Find the & (or condition on 8 i.e. § < something) that completes our proof. Proof. Let e > 0 and suppose x – 4 < 8. Then we have - |2x + 5 – 13| = |2x – 8| = 2|x – 4| < 28 -
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