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
![1. The limit of a function is the value it approaches as the value of x approaches a certain
value.
а. True
b. False
2. Which of the following is not true about the limit of the function (x+4) as x approaches 3?
a. As the value of x that is less than 3 gets closer and closer to 3, the value of the
function gets closer and closer to 7.
b. As the value of x that is greater than 3 gets closer and closer to 3, the value of f(x)
gets closer and closer to 7.
c. The limit of the function is
d. As the value of x that is greater than 3 gets closer and closer to 3, the value of the
function increases without bound.
3. Evaluate the lim(2x – 7).
X-4
а. lim(2x — 7) 3 2
b. lim(2x – 7) = 1
x-4
с. lim(2x — 7) 3D 7
X-4
d. lim(2x – 7) = 4
X-4
x²-2x+1
4. Which of the following is true about the function f(x)
х-1
a. The function is not defined at x = 1.
b. The limit of the function as x approaches 1 is 0.
c. The limit of the function as x approaches 1 does not exist.
d. The numerator cannot be simplified by factoring.
5. Find lim Зх — 5.
x-4-
а.
7
b. 4
с. -17
d. 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6daf3ef1-e730-42ab-928e-431787de0bf3%2Fcf49f0da-94ac-4f6d-aebe-365c0e2abdbe%2Fwa3b1a4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The limit of a function is the value it approaches as the value of x approaches a certain
value.
а. True
b. False
2. Which of the following is not true about the limit of the function (x+4) as x approaches 3?
a. As the value of x that is less than 3 gets closer and closer to 3, the value of the
function gets closer and closer to 7.
b. As the value of x that is greater than 3 gets closer and closer to 3, the value of f(x)
gets closer and closer to 7.
c. The limit of the function is
d. As the value of x that is greater than 3 gets closer and closer to 3, the value of the
function increases without bound.
3. Evaluate the lim(2x – 7).
X-4
а. lim(2x — 7) 3 2
b. lim(2x – 7) = 1
x-4
с. lim(2x — 7) 3D 7
X-4
d. lim(2x – 7) = 4
X-4
x²-2x+1
4. Which of the following is true about the function f(x)
х-1
a. The function is not defined at x = 1.
b. The limit of the function as x approaches 1 is 0.
c. The limit of the function as x approaches 1 does not exist.
d. The numerator cannot be simplified by factoring.
5. Find lim Зх — 5.
x-4-
а.
7
b. 4
с. -17
d. 1
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