Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 15n n+2 an =l W Select the correct choice below and, if necessary, fill in the answer box to complete the choice. OA. The sequence converges to lim an Ham П→∞ (Type an exact answer, using radicals as needed.) OB. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 15n n+2 an =l W Select the correct choice below and, if necessary, fill in the answer box to complete the choice. OA. The sequence converges to lim an Ham П→∞ (Type an exact answer, using radicals as needed.) OB. The sequence diverges.
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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Question
![The problem asks whether the sequence \(\{a_n\}\) converges or diverges and to find the limit if the sequence is convergent. The sequence is given by:
\[
a_n = \sqrt{\frac{15n}{n + 2}}
\]
You are instructed to select the correct choice below and, if necessary, fill in the answer box to complete the choice.
Choices:
- Option A: The sequence converges to \(\lim_{{n \to \infty}} a_n = \_ \) (Type an exact answer, using radicals as needed.)
- Option B: The sequence diverges.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87314332-e2f5-4784-8bd6-50bd771df639%2F41d922e3-2efd-45b9-9551-c1314220b5dc%2Fuppyqo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The problem asks whether the sequence \(\{a_n\}\) converges or diverges and to find the limit if the sequence is convergent. The sequence is given by:
\[
a_n = \sqrt{\frac{15n}{n + 2}}
\]
You are instructed to select the correct choice below and, if necessary, fill in the answer box to complete the choice.
Choices:
- Option A: The sequence converges to \(\lim_{{n \to \infty}} a_n = \_ \) (Type an exact answer, using radicals as needed.)
- Option B: The sequence diverges.
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