HO2] Write the first six terms of {ljeN} Find the liminf ond the limsup Find the limits of the odd and even Subsseg. HW3] Write the first 12 terms of {sin()j Find the liminf and the limsup a boue. showing the details as Find the limits of the subseguences: lim Xyk lim X, ky00 Ykl k 4k+2 lim x *4k+3 Which agree with the limsup and liminf ?
HO2] Write the first six terms of {ljeN} Find the liminf ond the limsup Find the limits of the odd and even Subsseg. HW3] Write the first 12 terms of {sin()j Find the liminf and the limsup a boue. showing the details as Find the limits of the subseguences: lim Xyk lim X, ky00 Ykl k 4k+2 lim x *4k+3 Which agree with the limsup and liminf ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please solve homework-01 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
![(-1)
Hb 2] Write the first six terms of {ljeN}
Find the liminf and the limsup
Find the limits of the odd and even Subseg.
ljeN}
HW3] Write the finst 12 terms of {sin()
Find the liminf and the limsup
showing
Find the limits of the sub:
the details as aboue.
iubsequences
lim Xyk
lim X
lim X
lim x.
4k+3
4k+l koo 4k+2
Which agree with the limsup and liminf?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b3486e1-d201-4879-b060-0bc3eadc7a6d%2F68ff8f4e-2bbd-4071-9e7d-37293c0805d7%2Fdm68m3b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(-1)
Hb 2] Write the first six terms of {ljeN}
Find the liminf and the limsup
Find the limits of the odd and even Subseg.
ljeN}
HW3] Write the finst 12 terms of {sin()
Find the liminf and the limsup
showing
Find the limits of the sub:
the details as aboue.
iubsequences
lim Xyk
lim X
lim X
lim x.
4k+3
4k+l koo 4k+2
Which agree with the limsup and liminf?
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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