I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. í. . SLALE.. 2. The negation of the statement "For every e > 0 there exists a d > 0 such that if 0 < |x – a| < d then |f(x) – L| < e " is the statement " There exists an e > 0 such that for all 8 > 0, we have 0 < |x – a| < d and |f(x) – L| > e. "

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0.
í.
SLALE..r
• T.
2. The negation of the statement " For every e >0 there exists a d >0 such that if 0 < |x – a| < 8
then |f(x) – L] < e " is the statement "There exists an e > 0 such that for all 8 > 0, we have
0 < |x – a| < d and |f(x) – L| > e. "
Transcribed Image Text:I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. í. SLALE..r • T. 2. The negation of the statement " For every e >0 there exists a d >0 such that if 0 < |x – a| < 8 then |f(x) – L] < e " is the statement "There exists an e > 0 such that for all 8 > 0, we have 0 < |x – a| < d and |f(x) – L| > e. "
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