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...
Related questions
Question
Do 24
![21.
22.
23.
24.
25.
lim xcsc x is
110
(A) - 0⁰
2x² +1
x-(2-x)(2+ x)
(A) -4
lim
|x|
lim is
x-0 x
(A) 0
(A) 0
(B)-1
1
lim xsin is
X
lim
X-X
(A) 1
27. Let f(x) =
(B)-2
sin(-x)
π-X
29. If
(B) nonexistent
(B) ∞
is
(B) 0
is
x²-1
[ƒ(x) = x²_
2x
(C) 1
(C) 0
if x # 1,
if x = 1.
(C) nonexistent
(C) ∞
(D) nonexistent
26. If [x] is the greatest integer in x, then what is lim [x+1]?
x--1
(A) -1
(B) 0
(C) 1
for x = 0,
30. Suppose f(1) = −3,
|f(2)= 4.
(C) 1
(A) only I (B) only II (C) I and II
(E) all of them
(D) 1
(D) 2
[f(x) = 3x(x-1)
x²-3x+2
Then f(x) is continuous
(A) except at x = 1
(B)
(D) except at x = 0, 1, or 2
f(0) = k₁
and iffis continuous at x = 0, then k =
(A) -1
(B) --/12 (C) 0
(D) 2
Which of the following statements, I, II, and III, are true?
I. lim f(x) exists II. f(1) exists III. f is continuous at x = 1
x-1
(D) none of them
(D)
(E) ∞
for x 1, 2,
(E) nonexistent
(D) - 1
(D) - 1
1
(E) none of these
(E) none of these
(E) 1
(E) The limit does not exist.
(E) 1
except at x = 2 (C) except at x = 1 or 2
(E) at each real number](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d3d0313-ca74-43cf-98c7-55eac5c05caf%2F6e97e54e-509c-449b-850f-08009a6e19ce%2F6jikv2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:21.
22.
23.
24.
25.
lim xcsc x is
110
(A) - 0⁰
2x² +1
x-(2-x)(2+ x)
(A) -4
lim
|x|
lim is
x-0 x
(A) 0
(A) 0
(B)-1
1
lim xsin is
X
lim
X-X
(A) 1
27. Let f(x) =
(B)-2
sin(-x)
π-X
29. If
(B) nonexistent
(B) ∞
is
(B) 0
is
x²-1
[ƒ(x) = x²_
2x
(C) 1
(C) 0
if x # 1,
if x = 1.
(C) nonexistent
(C) ∞
(D) nonexistent
26. If [x] is the greatest integer in x, then what is lim [x+1]?
x--1
(A) -1
(B) 0
(C) 1
for x = 0,
30. Suppose f(1) = −3,
|f(2)= 4.
(C) 1
(A) only I (B) only II (C) I and II
(E) all of them
(D) 1
(D) 2
[f(x) = 3x(x-1)
x²-3x+2
Then f(x) is continuous
(A) except at x = 1
(B)
(D) except at x = 0, 1, or 2
f(0) = k₁
and iffis continuous at x = 0, then k =
(A) -1
(B) --/12 (C) 0
(D) 2
Which of the following statements, I, II, and III, are true?
I. lim f(x) exists II. f(1) exists III. f is continuous at x = 1
x-1
(D) none of them
(D)
(E) ∞
for x 1, 2,
(E) nonexistent
(D) - 1
(D) - 1
1
(E) none of these
(E) none of these
(E) 1
(E) The limit does not exist.
(E) 1
except at x = 2 (C) except at x = 1 or 2
(E) at each real number
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