Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) In(nº) a. = 8n
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) In(nº) a. = 8n
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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![**Problem Statement:**
Determine the convergence or divergence of the sequence with the given \( n \)th term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)
Given sequence:
\[
a_n = \frac{\ln(n^9)}{8n}
\]
**Instructions:**
Evaluate the sequence to determine if it converges. If it does converge, calculate the limit. If the sequence diverges, provide "DIVERGES" as the answer.
(Note: The problem does not include any graphs or diagrams.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75758824-d9ac-45ff-8935-fa266cdc3747%2Ff4545235-1762-4c15-9b8e-03794d51b955%2Fwggbzkj_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the convergence or divergence of the sequence with the given \( n \)th term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)
Given sequence:
\[
a_n = \frac{\ln(n^9)}{8n}
\]
**Instructions:**
Evaluate the sequence to determine if it converges. If it does converge, calculate the limit. If the sequence diverges, provide "DIVERGES" as the answer.
(Note: The problem does not include any graphs or diagrams.)
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