Determine the limit of the sequence defined below. 3n an = (8n)7 If the limit does not exist, enter Ø. If the sequence approaches positive or negative infinity, enteror -∞, respectively. Provide your answer below: e³n lim n→∞ (8n)7
Determine the limit of the sequence defined below. 3n an = (8n)7 If the limit does not exist, enter Ø. If the sequence approaches positive or negative infinity, enteror -∞, respectively. Provide your answer below: e³n lim n→∞ (8n)7
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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![Determine the limit of the sequence defined below.
\[ a_n = \frac{e^{3n}}{(8n)^7} \]
If the limit does not exist, enter ∅. If the sequence approaches positive or negative infinity, enter ∞ or −∞, respectively.
Provide your answer below:
\[
\lim_{n \to \infty} \frac{e^{3n}}{(8n)^7} = \boxed{}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa47a53d3-7bed-49c5-b0b6-97d0815f88bc%2F98441768-920a-401c-b2e5-5b855e99b3ff%2F5ohvlst_processed.png&w=3840&q=75)
Transcribed Image Text:Determine the limit of the sequence defined below.
\[ a_n = \frac{e^{3n}}{(8n)^7} \]
If the limit does not exist, enter ∅. If the sequence approaches positive or negative infinity, enter ∞ or −∞, respectively.
Provide your answer below:
\[
\lim_{n \to \infty} \frac{e^{3n}}{(8n)^7} = \boxed{}
\]
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