2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but not equal to c, the values of f(x) approach a single finite value L. ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite values of L. iii. For all x values close to c, but not equal to c, the value of f(x) does not exist. (A) i only (B) i and ii only (C) ii and iii only (D) i and iii only 4x²-8x 3. What is lim ? x-2 X-2 (A) 2 (B) 4 (C) 8 4. Given f(x)=x²-3x, what is limf(x+h)-f(x) ? h-0 h (A) 2x + 3 (B) 2x-3 (C) 2x (x²-c if x < 7 J (D) does not exist (D) 0
2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but not equal to c, the values of f(x) approach a single finite value L. ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite values of L. iii. For all x values close to c, but not equal to c, the value of f(x) does not exist. (A) i only (B) i and ii only (C) ii and iii only (D) i and iii only 4x²-8x 3. What is lim ? x-2 X-2 (A) 2 (B) 4 (C) 8 4. Given f(x)=x²-3x, what is limf(x+h)-f(x) ? h-0 h (A) 2x + 3 (B) 2x-3 (C) 2x (x²-c if x < 7 J (D) does not exist (D) 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...
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Question
![2.
Which is the interpretation
of the statement lim f(x) = L ?
i. For all x values close to c, but not equal to c, the values of f(x) approach a single
finite value L.
ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite
values of L.
iii. For all x values close to c, but not equal to c, the value of f(x) does not exist.
(A) i only
(B) i and ii only
(C) ii and iii only
(D) i and iii only
4x²-8x?
3. What is
lim
x-2 X-2
(A) 2
(B) 4
(D) does not exist
4. Given f(x)=x²-3x, what is lim
h-0
(A) 2x + 3
(B) 2x - 3
(D) 0
5. Let f(x) be the function f(x) =
(x²-c
if x <7
What is the value of c that
(4x+3c
if x ≥7
makes the function f(x) continuous for all real numbers.
(A) 21/4
(B) 21/2
(C) 49/3
(D) 77/4
6. What type of discontinuity at x = 1 is in the function f(x) = ?
(A) infinite discontinuity
(B) jump discontinuity
(C) removable discontinuity
(D) f is continuous at 1
1-2²2²
7. How should the function f(x) =
- be defined so that it will be continuous at x = -1?
1+x
(A) f(-1) = -2
(B) f(-1) = 0
(C) f(-1)=2
(D) f(-1) = +00
8. Which of the following intervals is f(x) =
(2x
if x < 1
(x-1 if x 21
continuous?
(A) (0,1]
(B) [0,1]
(C) (1,2)
(C) 8
f(x+h)-f(x) ?
h
(C) 2x
(D) [-1,2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9895697-681a-4b49-ba15-06fbb8327ad2%2F0b0c7d30-35cf-417f-90ff-782eccc19c4a%2Fb5itgz2_processed.png&w=3840&q=75)
Transcribed Image Text:2.
Which is the interpretation
of the statement lim f(x) = L ?
i. For all x values close to c, but not equal to c, the values of f(x) approach a single
finite value L.
ii. For all x values close to c, but not equal to c, the values of f(x) approach two finite
values of L.
iii. For all x values close to c, but not equal to c, the value of f(x) does not exist.
(A) i only
(B) i and ii only
(C) ii and iii only
(D) i and iii only
4x²-8x?
3. What is
lim
x-2 X-2
(A) 2
(B) 4
(D) does not exist
4. Given f(x)=x²-3x, what is lim
h-0
(A) 2x + 3
(B) 2x - 3
(D) 0
5. Let f(x) be the function f(x) =
(x²-c
if x <7
What is the value of c that
(4x+3c
if x ≥7
makes the function f(x) continuous for all real numbers.
(A) 21/4
(B) 21/2
(C) 49/3
(D) 77/4
6. What type of discontinuity at x = 1 is in the function f(x) = ?
(A) infinite discontinuity
(B) jump discontinuity
(C) removable discontinuity
(D) f is continuous at 1
1-2²2²
7. How should the function f(x) =
- be defined so that it will be continuous at x = -1?
1+x
(A) f(-1) = -2
(B) f(-1) = 0
(C) f(-1)=2
(D) f(-1) = +00
8. Which of the following intervals is f(x) =
(2x
if x < 1
(x-1 if x 21
continuous?
(A) (0,1]
(B) [0,1]
(C) (1,2)
(C) 8
f(x+h)-f(x) ?
h
(C) 2x
(D) [-1,2]
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