Explain the meaning of each of the following. (a) lim f(x) = ∞ (b) X-4 O The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4. O f(-4)= ∞ O The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large. O The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4. lim f(x) = -00 x→8+ O As x approaches 8, f(x) approaches -∞. O The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 8. O The values of f(x) can be made arbitrarily close to by taking x sufficiently close to 8. Of(8) = -0
Explain the meaning of each of the following. (a) lim f(x) = ∞ (b) X-4 O The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4. O f(-4)= ∞ O The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large. O The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4. lim f(x) = -00 x→8+ O As x approaches 8, f(x) approaches -∞. O The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 8. O The values of f(x) can be made arbitrarily close to by taking x sufficiently close to 8. Of(8) = -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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![Explain the meaning of each of the following.
(a) lim f(x) = ∞
X-4
O The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4.
Of(-4)= ∞
O The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large.
O The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4.
(b)
lim f(x) = -8
x →8+
O As x approaches 8, f(x) approaches -∞.
O The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 8.
O The values of f(x) can be made arbitrarily close to -∞ by taking x sufficiently close to 8.
Of(8)
=10](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdce9ba03-80ad-4ef0-9d01-d879c68da607%2F665ca940-f577-4e4b-bcdc-43155a472067%2Fs2ywxi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Explain the meaning of each of the following.
(a) lim f(x) = ∞
X-4
O The values of f(x) can be made arbitrarily close to 0 by taking x sufficiently close to (but not equal to) -4.
Of(-4)= ∞
O The values of f(x) can be made arbitrarily close to -4 by taking x sufficiently large.
O The values of f(x) can be made arbitrarily large by taking x sufficiently close to (but not equal to) -4.
(b)
lim f(x) = -8
x →8+
O As x approaches 8, f(x) approaches -∞.
O The values of f(x) can be made negative with arbitrarily large absolute values by taking x sufficiently close to, but greater than, 8.
O The values of f(x) can be made arbitrarily close to -∞ by taking x sufficiently close to 8.
Of(8)
=10
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