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 limsupFind the limits of the odd and even Subseg.ljeN}HW3] Write the finst 12 terms of {sin()Find the liminf and the limsupshowingFind the limits of the sub:the details as aboue.iubsequenceslim Xyklim Xlim Xlim x.4k+34k+l koo 4k+2Which agree with the limsup and liminf? Please solve my homeworkquestion like this (statementand justifications) columns1) Given any ɛ > 0, choose N, = = +11) OK because ɛ > 0%3D2) For any n > N, we have a3) 8 – E < En3) no switch when mult by ɛ > 04) 8 < en + ɛ4) adding ɛ to both sides5) 8 < e(n+ 1)5) algebra (factoring)6) 0 because n+1 > 0.n+17) E7) defn of abs value8) - < eSn+88) algebran+1n+19) - <8(n+1)n+18n9) algebran+1- 8| < e.10) algebraQEDn+1

Part (a): Find first 6 terms of the sequence, the limit infimum and limit supremum of the sequence…

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

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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?

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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