(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
(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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Question
![(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
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd15bfd53-0be5-4ad0-b27d-fbf67441f211%2Ffd2f04f6-0124-4177-99f4-e1aedfaa5dd2%2Fer1zzug_processed.png&w=3840&q=75)
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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