Question 21 (x- 1)², x<2 Show that f (x) = { x, 23 x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A) f(2) = 2; lim f (x) =1; then f (2) # lim f (x) X-2 X-2 B f (2) = 1; lim x =1, lim (x-1)2= 1; then f (2) # lim f (x) X- 2- X- 2+ X-2 f (2) = 2; lim (x- 1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2 f (2) = 1; lim (x-1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2

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
Question
Question 21
(x- 1)2, x<2
Show that f (x) = { x ,
2< x <4 is discontinuous at * = 2.
5 - x, x 2 4
(A) f (2) = 2; lim f (x) = 1; then f (2) + lim f (x)
X-2
X-2
B
f (2) = 1; lim x =1,
lim (x-1)2= 1; then f (2) # lim f (x)
X- 2-
X- 2+
X-2
f (2) = 2; lim (x – 1) ² = 1,
2; then f (2) # lim f (x)
lim x =
X-2-
X-2+
X-2
D
f (2) = 1; lim (x-1)2 = 1, lim x = 2; then f (2) # lim f (x)
X-2-
X-2+
X-2
Transcribed Image Text:Question 21 (x- 1)2, x<2 Show that f (x) = { x , 2< x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A) f (2) = 2; lim f (x) = 1; then f (2) + lim f (x) X-2 X-2 B f (2) = 1; lim x =1, lim (x-1)2= 1; then f (2) # lim f (x) X- 2- X- 2+ X-2 f (2) = 2; lim (x – 1) ² = 1, 2; then f (2) # lim f (x) lim x = X-2- X-2+ X-2 D f (2) = 1; lim (x-1)2 = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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