Which of the following functions is continuous at x = 0? S x+1 if x < 0 а. y = —х — 1 if x > 0 b. sin(x) if x < 0 y = if x > 0 Ос O c. None of these O d. y = S sin(x) if x # 0 1 if x = 0

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
Which of the following functions is
continuous at x =
0?
O a.
y =
x + 1
if x < 0
-x – 1
if x > 0
S sin(x)
y =
b.
if x < 0
if x > 0
Ос.
None of these
{
O d.
y =
( sin(x)
if x + 0
1
if x = 0
Transcribed Image Text:Which of the following functions is continuous at x = 0? O a. y = x + 1 if x < 0 -x – 1 if x > 0 S sin(x) y = b. if x < 0 if x > 0 Ос. None of these { O d. y = ( sin(x) if x + 0 1 if x = 0
(x²–16)
f(x)
х-4
Evaluate:
lim f(x) =
x→4
О а.
O b. 0
Ос.
8.
O d. does not exist
8.
Transcribed Image Text:(x²–16) f(x) х-4 Evaluate: lim f(x) = x→4 О а. O b. 0 Ос. 8. O d. does not exist 8.
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