3. Using the definition of the limit, and given that 3 lim x-2-x-2 = -00, for any N > 0, there is a 8 >0 so that the following implication involving inequalities hold true: (FILL IN THE BOXES BELOW. -8 0 which satisfies the implication when N = 2022. (ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Using the definition of the limit, and given that
3
lim
x-2-x-2
- 00,
for any N > 0, there is a 8 >0 so that the following implication involving inequalities hold true:
(FILL IN THE BOXES BELOW.
-8 < x-
< 0 implies that
<-N
Using the inequalities above, find the largest 8 > 0 which satisfies the implication when N = 2022.
(ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)
Transcribed Image Text:3. Using the definition of the limit, and given that 3 lim x-2-x-2 - 00, for any N > 0, there is a 8 >0 so that the following implication involving inequalities hold true: (FILL IN THE BOXES BELOW. -8 < x- < 0 implies that <-N Using the inequalities above, find the largest 8 > 0 which satisfies the implication when N = 2022. (ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)
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