Determine if the sequence {an} converges, and if it does, find its limit when an 6n+ (-1)" 3n+5 1. converges with limit 2. converges with limit 4. converges with limit = 5. converges with limit = 314 3. sequence does not converge 7 3 3 5 3 - 2
Determine if the sequence {an} converges, and if it does, find its limit when an 6n+ (-1)" 3n+5 1. converges with limit 2. converges with limit 4. converges with limit = 5. converges with limit = 314 3. sequence does not converge 7 3 3 5 3 - 2
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
![Determine if the sequence \(\{a_n\}\) converges, and if it does, find its limit when
\[
a_n = \frac{6n + (-1)^n}{3n + 5}.
\]
Options:
1. Converges with limit \( = \frac{3}{4} \)
2. Converges with limit \( = \frac{5}{3} \)
3. Sequence does not converge
4. Converges with limit \( = \frac{7}{3} \)
5. Converges with limit \( = 2 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a433dd5-6857-42c0-ae40-09bd40f154d3%2Fa3dc0768-f805-44e3-bd97-c864f3259c9e%2Fjz7knpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine if the sequence \(\{a_n\}\) converges, and if it does, find its limit when
\[
a_n = \frac{6n + (-1)^n}{3n + 5}.
\]
Options:
1. Converges with limit \( = \frac{3}{4} \)
2. Converges with limit \( = \frac{5}{3} \)
3. Sequence does not converge
4. Converges with limit \( = \frac{7}{3} \)
5. Converges with limit \( = 2 \)
Expert Solution
Step 1
It is given that, be a sequence defined by ;
We have to determine that whether the given sequence converges or diverges and if it converges then we have to find the limit of this sequence.
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