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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
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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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
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
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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