Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for any e, there exists & > 0such that 0 < |r – a| < 8, whenever |f(x) – A| < e. Option 1 The lim f(a) = A, if and only if, for any e, there exists & 2 0such that 0 < |x – a| < 8, whenever |f(x) – A| < e. Option 2 The lim f(æ) = A, if and only if, for any e, there exists & S Osuch that 0 < |r – a| < 8, whenever |f(x) – A| < e. Option 3 The lim f(x) = A, if and only if, for any e, there exists & < Osuch that 0 < |x – a| < 8, whenever |f(x) - A| < e. Option 4
Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for any e, there exists & > 0such that 0 < |r – a| < 8, whenever |f(x) – A| < e. Option 1 The lim f(a) = A, if and only if, for any e, there exists & 2 0such that 0 < |x – a| < 8, whenever |f(x) – A| < e. Option 2 The lim f(æ) = A, if and only if, for any e, there exists & S Osuch that 0 < |r – a| < 8, whenever |f(x) – A| < e. Option 3 The lim f(x) = A, if and only if, for any e, there exists & < Osuch that 0 < |x – a| < 8, whenever |f(x) - A| < e. Option 4
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Answer the two question below. No need to explain it in longer way. Just choose a correct answer for each question.
![Which of the following is the
correct definition of the limit?
The lim f(x) = A, if and only if, for any e,
there exists & > 0 such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 1
The lim f(x) = A, if and only if, for any e,
there exists & 20such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 2
The lim f(x) = A, if and only if, for any e,
there exists & < Osuch that 0 < ]x – a| < 8,
whenever |f(x) – A| < e.
Option 3
The lim f(x) = A, if and only if, for any e,
there exists & < 0 such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6dd2e59-8e57-4abd-95ef-2e8ff5bd632e%2F5c9f72e1-17f9-4660-9d8d-69d0d833bf94%2Fk9rirjs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following is the
correct definition of the limit?
The lim f(x) = A, if and only if, for any e,
there exists & > 0 such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 1
The lim f(x) = A, if and only if, for any e,
there exists & 20such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 2
The lim f(x) = A, if and only if, for any e,
there exists & < Osuch that 0 < ]x – a| < 8,
whenever |f(x) – A| < e.
Option 3
The lim f(x) = A, if and only if, for any e,
there exists & < 0 such that 0 < |r – a| < 8,
whenever |f(x) – A| < e.
Option 4
![Which of the following is NOT
true about the limit properties.
lim c = a
L→a
Option 1
lim c = c
X→c
Option 2
lim x" = a"
%3D
Option 3
lim [f(2))" = [lim f(2)]"™
Laa
2 Option 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6dd2e59-8e57-4abd-95ef-2e8ff5bd632e%2F5c9f72e1-17f9-4660-9d8d-69d0d833bf94%2Fu8o4vuc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following is NOT
true about the limit properties.
lim c = a
L→a
Option 1
lim c = c
X→c
Option 2
lim x" = a"
%3D
Option 3
lim [f(2))" = [lim f(2)]"™
Laa
2 Option 4
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