HWI Prove that lim *=2
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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Question
Please solve homework in the following format like in two columns:
•statment | •justifications
Note: My previous homework was cancelled due to not following format.
i want to give you thumbs up. So please follow attached format
![Hwl] Prove that lim 2
メ→8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3486e1-d201-4879-b060-0bc3eadc7a6d%2Fcba765b6-5eb9-462d-9d30-cdf69c8b3e0d%2Flhi1feb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Hwl] Prove that lim 2
メ→8
![Please solve my homework
question like this (statement
and justifications) columns
1) Given any ɛ > 0, choose N, = = +1
1) OK because ɛ > 0
%3D
2) For any n > N, we have <n
2) by a+1 > a
3) 8 – E < En
3) no switch when mult by ɛ > 0
4) 8 < en + ɛ
4) adding ɛ to both sides
5) 8 < e(n+ 1)
5) algebra (factoring)
6) <E
6) no switch when mult by 1/(n+1) > 0 because n+1 > 0.
n+1
7) E
7) defn of abs value
8) - < e
Sn+8
8) algebra
n+1
n+1
9) - <
8(n+1)
n+1
8n
9) algebra
n+1
- 8| < e.
10) algebra
QED
n+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3486e1-d201-4879-b060-0bc3eadc7a6d%2Fcba765b6-5eb9-462d-9d30-cdf69c8b3e0d%2Fryz47nl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Please solve my homework
question like this (statement
and justifications) columns
1) Given any ɛ > 0, choose N, = = +1
1) OK because ɛ > 0
%3D
2) For any n > N, we have <n
2) by a+1 > a
3) 8 – E < En
3) no switch when mult by ɛ > 0
4) 8 < en + ɛ
4) adding ɛ to both sides
5) 8 < e(n+ 1)
5) algebra (factoring)
6) <E
6) no switch when mult by 1/(n+1) > 0 because n+1 > 0.
n+1
7) E
7) defn of abs value
8) - < e
Sn+8
8) algebra
n+1
n+1
9) - <
8(n+1)
n+1
8n
9) algebra
n+1
- 8| < e.
10) algebra
QED
n+1
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