Exercise 11: Consider the following functions : I + h(x) = x 1 T2 1 Sg(x), r E Q g(x) f(x) = r2 1' h(x), otherwise. (a) Show that lim1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c E R does limgc f(x) exist?

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...
icon
Related questions
Topic Video
Question

exercise 11 part B 

Exercise 11: Consider the following functions :
I +
h(x) =
x 1
T2 1
Sg(x),
r E Q
g(x)
f(x) =
r2 1'
h(x), otherwise.
(a) Show that lim1 f(x) does not exist.
Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize,
will receive full points. However, being able to write a full proof would be good.
(b) For which values of c E R does limgc f(x) exist?
Transcribed Image Text:Exercise 11: Consider the following functions : I + h(x) = x 1 T2 1 Sg(x), r E Q g(x) f(x) = r2 1' h(x), otherwise. (a) Show that lim1 f(x) does not exist. Remark: A good, convincing, intuitive explanation, possibly with a couple graphs to help visualize, will receive full points. However, being able to write a full proof would be good. (b) For which values of c E R does limgc f(x) exist?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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