The following is the definition of the limit of a function lim,→a ƒ (x) = L: Ve E R+, 38 e R+, Vx € R, 0 < [x – a| < 8 → \f(x) – L| < e (1) Write the negation of Equation (1). Your final answer should not contain any ¬ example, ¬(a < b) is incorrect, but a > b is correct. symbols. For You should show your steps but you do not need to state the law that you used.
The following is the definition of the limit of a function lim,→a ƒ (x) = L: Ve E R+, 38 e R+, Vx € R, 0 < [x – a| < 8 → \f(x) – L| < e (1) Write the negation of Equation (1). Your final answer should not contain any ¬ example, ¬(a < b) is incorrect, but a > b is correct. symbols. For You should show your steps but you do not need to state the law that you used.
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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Transcribed Image Text:(11) The following is the definition of the limit of a function lim,+a f (x) = L:
Ve E R+, 38 e R†,Vx € R, 0 < |x – a| < &
|f (x) – L| < €
(1)
Write the negation of Equation (1). Your final answer should not contain any – symbols. For
example, ¬(a < b) is incorrect, but a > b is correct.
You should show your steps but you do not need to state the law that you used.
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