• {an}1 defined by an • {bn} defined by bn • {n} = defined by Cn = sin(n) n²+1 n² +1 3n2 2 ln(n) en

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7
Below we give three sequences, each with terms expressed in the form of a ratio
f(n)
g(n)
sequences is it valid to directly apply L'Hôpital's Rule to conclude lim
n→∞
• {an}
• {bn}
●
●
{n}
2
1
∞
n=1
3
0
∞
=1
Select one alternative
defined by an
defined by bn =
defined by Cn
-
=
sin(n)
n² + 1
n² + 1
3n2
2 ln(n)
en
f(n)
g(n)
= lim
n→∞
For how many of these
f'(n) ?
g'(n)
Transcribed Image Text:7 Below we give three sequences, each with terms expressed in the form of a ratio f(n) g(n) sequences is it valid to directly apply L'Hôpital's Rule to conclude lim n→∞ • {an} • {bn} ● ● {n} 2 1 ∞ n=1 3 0 ∞ =1 Select one alternative defined by an defined by bn = defined by Cn - = sin(n) n² + 1 n² + 1 3n2 2 ln(n) en f(n) g(n) = lim n→∞ For how many of these f'(n) ? g'(n)
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