Question
Asked Oct 28, 2019

Help please. Working on my study guide and I'm confused 

Determine if each sequence converges or diverges. If it converges, state the limit.
Use an appropriate theorem or definition to justify your answer.
Inn
(a) an
1
In(n2+4)
2n+3
(b) a, -(-1)"
7n-1
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Determine if each sequence converges or diverges. If it converges, state the limit. Use an appropriate theorem or definition to justify your answer. Inn (a) an 1 In(n2+4) 2n+3 (b) a, -(-1)" 7n-1

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check_circleExpert Solution
Step 1
(a)
In n
Consider the given sequence as a,
In (n +4)
Find the limit of the sequence as follows
ln n
lim a lim
n-In (n 4)
By LHospital rule, we have
1
1
lim a lim
2n
lim
2n2
2
n-o
Inn
Hence, the sequence a
is convergence to
2
In(+4)
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(a) In n Consider the given sequence as a, In (n +4) Find the limit of the sequence as follows ln n lim a lim n-In (n 4) By LHospital rule, we have 1 1 lim a lim 2n lim 2n2 2 n-o Inn Hence, the sequence a is convergence to 2 In(+4)

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