Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it continuous?

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...
Question

Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it continuous? Let F(x) be the redefined function.

choices are given bellow

a.
b.
C.
d.
F(x) =
F(x)
F(x) =
=
=
=
F(x) =
=
[ f(x), x = 10
lim f(x), x 10
x 10
[ f(x), x = 10
f(10), x 10
[ f(x), x ‡ 10
lim f(x), x = 10
x 10
[ f(x), x ‡ 10
f(10), x = 10
Transcribed Image Text:a. b. C. d. F(x) = F(x) F(x) = = = = F(x) = = [ f(x), x = 10 lim f(x), x 10 x 10 [ f(x), x = 10 f(10), x 10 [ f(x), x ‡ 10 lim f(x), x = 10 x 10 [ f(x), x ‡ 10 f(10), x = 10
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

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