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n that so that they form a rigorous assertion that lim X-

n that so that they form a rigorous assertion that lim X-

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 7CA
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lim f(x) = L means: For all e > 0 there is a ô > 0 such that for all x satisfying 0 < ]x – c| < ô we have that |f(x) – L| < e. What if the limit does not equal L? Think about what the means in e, ô language. Consider the following phrases: 1. e > 0 2. 8 > 0 3.0 < |x – c| < ô 4. [f(x) – L| > e 5. but 6. such that for all 7. there is some 8. there is some x such that Order these statements so that they form a rigorous assertion that lim f(x) # L and enter their reference numbers in the appropriate sequence in these boxes:
Transcribed Image Text:lim f(x) = L means: For all e > 0 there is a ô > 0 such that for all x satisfying 0 < ]x – c| < ô we have that |f(x) – L| < e. What if the limit does not equal L? Think about what the means in e, ô language. Consider the following phrases: 1. e > 0 2. 8 > 0 3.0 < |x – c| < ô 4. [f(x) – L| > e 5. but 6. such that for all 7. there is some 8. there is some x such that Order these statements so that they form a rigorous assertion that lim f(x) # L and enter their reference numbers in the appropriate sequence in these boxes:
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