Homework Help is Here – Start Your Trial Now!
Math
Calculus
Prove the statement using the , & definition of a limit. 6 + 4x lim x 1 = 2 Given & > 0, we need ---Select--- choose 8 = ---Select--- · then 0 6 + 4x ---Select--- ✓ But 6 + 4x 5 5 <&. Thus, lim (6+4x) = 2 by the definition of a limit. such that if 0 < |x-1| < 6, then > | ( 6 + 4x) - 2 | < |x-1| < 8⇒ |54|

Prove the statement using the , & definition of a limit. 6 + 4x lim x 1 = 2 Given & > 0, we need ---Select--- choose 8 = ---Select--- · then 0 6 + 4x ---Select--- ✓ But 6 + 4x 5 5 <&. Thus, lim (6+4x) = 2 by the definition of a limit. such that if 0 < |x-1| < 6, then > | ( 6 + 4x) - 2 | < |x-1| < 8⇒ |54|

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

DO ALL PARTS PLEASE FILL IN THE BLANKS

Prove the statement using the &, & definition of a limit. 6 + 4x lim x → 1 5 = 2 Given & > 0, we need & ---Select---✓ such that if 0 < |x − 1| < 6, then |(6 + 4x) - 2| 5 choose 6 = ---Select--- V then 0 < |x-1| < 6⇒ 6 + 4x 5 2 <&. Thus, lim X→ 1 6 + 4x 5 = 2 by the definition of a limit. ---Select--- V 6 + 4x 5 ■ But - 2 < E 4x - 4 5 < ε # 4 |x − 1| < ɛ ⇒ |x − 1| < |---Select--- -- ■ So if we
Transcribed Image Text:Prove the statement using the &, & definition of a limit. 6 + 4x lim x → 1 5 = 2 Given & > 0, we need & ---Select---✓ such that if 0 < |x − 1| < 6, then |(6 + 4x) - 2| 5 choose 6 = ---Select--- V then 0 < |x-1| < 6⇒ 6 + 4x 5 2 <&. Thus, lim X→ 1 6 + 4x 5 = 2 by the definition of a limit. ---Select--- V 6 + 4x 5 ■ But - 2 < E 4x - 4 5 < ε # 4 |x − 1| < ɛ ⇒ |x − 1| < |---Select--- -- ■ So if we
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS