10. Suppose that {b} is a sequence such that lim bn = 1. Show that 72-00 bn-1 lim no ln bn 1.
10. Suppose that {b} is a sequence such that lim bn = 1. Show that 72-00 bn-1 lim no ln bn 1.
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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for all nonnegative integers m≥k. If a₁ = 1, find a closed form for an
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8. Let {an} be a sequence such that for all n ≥ 2 there exists an integer t
with n/2 ≤t≤n such that an = at/2. Prove that lim an = 0.
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9. Let {an} be defined by an = n²+2. Find a subsequence {ank} such that
if r<s, then an, divides an..
10. Suppose that {b} is a sequence such that lim bn = 1. Show that
n→∞
bn-1
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n→∞ ln bn
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Transcribed Image Text:Q
F4
2
for all nonnegative integers m≥k. If a₁ = 1, find a closed form for an
%
5
8. Let {an} be a sequence such that for all n ≥ 2 there exists an integer t
with n/2 ≤t≤n such that an = at/2. Prove that lim an = 0.
81x
9. Let {an} be defined by an = n²+2. Find a subsequence {ank} such that
if r<s, then an, divides an..
10. Suppose that {b} is a sequence such that lim bn = 1. Show that
n→∞
bn-1
lim
n→∞ ln bn
T
G
9
F5
^
6
= 1.
MacBook Air
c
F6
Y
H
&
7
←
F7
U
* 00
J
8
DII
F8
D
(
9
1
K
DD
F9
0
-O
0
F10
P
F1
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