(c) If lim |an+1| = 1 then then > Jan| is convergent. |anl n=1 00 (d) >lan| converges then > ang converges where (an) is any subsequence of (am) n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1· If On converges then an converges. n=1
(c) If lim |an+1| = 1 then then > Jan| is convergent. |anl n=1 00 (d) >lan| converges then > ang converges where (an) is any subsequence of (am) n=1 n=1 (e) Assume that for all n E N, an < b2n and an < b2n+1· If On converges then an converges. n=1
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
Decide if true or false. Justify statements that are false. Do not prove the ones that you believe to be true.
Do (c) (d) & (e)
![(c) If lim
|an+1]
1 then then Jan| is convergent.
|anl
n=1
00
(d) > lan| converges then
converges where (an) is any subsequence of (an).
Ank
n=1
n=1
(e) Assume that for all n E N, an < b2n and an < b2n+1•
00
If
On converges then
An converges.
n=1
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80fac62b-1f91-4b94-88b2-6d2c841a4645%2F8432516f-af2f-477e-a5d7-7c062dd5fc39%2F4k7tk5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) If lim
|an+1]
1 then then Jan| is convergent.
|anl
n=1
00
(d) > lan| converges then
converges where (an) is any subsequence of (an).
Ank
n=1
n=1
(e) Assume that for all n E N, an < b2n and an < b2n+1•
00
If
On converges then
An converges.
n=1
n=1
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