Test the series for convergence or divergence. E(-1)* _k! 3k k = 3 Evaluate the following limit. (" lim b, = [Select] ") n+ 00 k! ("The sequence is 3k [ Select ] ") k = 3 ("The series is [ Select ] ")
Test the series for convergence or divergence. E(-1)* _k! 3k k = 3 Evaluate the following limit. (" lim b, = [Select] ") n+ 00 k! ("The sequence is 3k [ Select ] ") k = 3 ("The series is [ Select ] ")
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![The problem asks to test the series for convergence or divergence:
\[ \sum_{k=3}^{\infty} (-1)^k \frac{k!}{3^k} \]
Next, it requires evaluating the following limit:
\[ \lim_{n \to \infty} b_n = \text{[ Select ]} \]
Additionally, it provides a sequence to evaluate:
\[ \left( \frac{k!}{3^k} \right)_{k=3}^{\infty} = \text{[ Select ]} \]
Finally, it asks about the nature of the series:
\[ \text{"The series is [ Select ] "} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa72e8965-bd79-4464-a740-a72095a0be2c%2Fa2ff997d-2efc-4bf1-a734-0f21adefc642%2Fe4tz5kl_processed.png&w=3840&q=75)
Transcribed Image Text:The problem asks to test the series for convergence or divergence:
\[ \sum_{k=3}^{\infty} (-1)^k \frac{k!}{3^k} \]
Next, it requires evaluating the following limit:
\[ \lim_{n \to \infty} b_n = \text{[ Select ]} \]
Additionally, it provides a sequence to evaluate:
\[ \left( \frac{k!}{3^k} \right)_{k=3}^{\infty} = \text{[ Select ]} \]
Finally, it asks about the nature of the series:
\[ \text{"The series is [ Select ] "} \]
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