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. "
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. "
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. "](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb072ba7a-98f3-4d6b-b590-36b6b82bd867%2F4314b65b-f2ea-4fef-b94a-e6af0c0eb927%2Fyyc5gj_processed.jpeg&w=3840&q=75)
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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