Homework Help is Here – Start Your Trial Now!
Math
Calculus
Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞ Suppose that e > 0. Find the smallest value for M > 6 such that if x > M then Ig(x) – 3| < e. The smallest value for M in terms of e is М — Note: • Enter your answer as a fraction, for example 25/13, not as a decimal, eg not as 1.923077. • the Maple syntax for |æ| is abs (x), and the syntax for e is epsilon.

Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞ Suppose that e > 0. Find the smallest value for M > 6 such that if x > M then Ig(x) – 3| < e. The smallest value for M in terms of e is М — Note: • Enter your answer as a fraction, for example 25/13, not as a decimal, eg not as 1.923077. • the Maple syntax for |æ| is abs (x), and the syntax for e is epsilon.

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
Consider the function g : (6, 00) → R given by, 3x g(x) = x-6 Then we have that lim g(x) = 3. Suppose that e > 0. Find the smallest value for M > 6 such that if x > M then |g(x) – 3| < e. The smallest value for M in terms of e is M = Note: Enter your answer as a fraction, for example 25/13, not as a decimal, eg not as 1.923077. the Maple syntax for x is abs (x), and the syntax for e is epsilon.
Transcribed Image Text:Consider the function g : (6, 00) → R given by, 3x g(x) = x-6 Then we have that lim g(x) = 3. Suppose that e > 0. Find the smallest value for M > 6 such that if x > M then |g(x) – 3| < e. The smallest value for M in terms of e is M = Note: Enter your answer as a fraction, for example 25/13, not as a decimal, eg not as 1.923077. the Maple syntax for x is abs (x), and the syntax for e is epsilon.
Expert Solution
steps

Step by step

Solved in 2 steps

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