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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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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.
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