(a) Give an example of a series a, where_lim_|a|¹/" an where lim |an|1/n = 1 and Σan converges. 818 n=1 (b) Give an example of a series Σ an where lim |an|1/n = 1 and Σ a diverges. n=1 84u n=1 Note: These two examples show why in Root Test if the limit is equal to 1 we get NO INFORMATION
(a) Give an example of a series a, where_lim_|a|¹/" an where lim |an|1/n = 1 and Σan converges. 818 n=1 (b) Give an example of a series Σ an where lim |an|1/n = 1 and Σ a diverges. n=1 84u n=1 Note: These two examples show why in Root Test if the limit is equal to 1 we get NO INFORMATION
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 26RE
Related questions
Question
Please see image
![(a) Give an example of a series a, where_lim_|a|¹/"
an where lim |an|1/n = 1 and Σan converges.
818
n=1
(b) Give an example of a series Σ an where lim |an|1/n = 1 and Σ a diverges.
n=1
84u
n=1
Note: These two examples show why in Root Test if the limit is equal to 1 we get
NO INFORMATION](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a0802a2-9dd1-43c0-9b3f-3c3accbadbd6%2Fdc33c7ef-675c-40e7-b9cd-510756d12a5f%2Fuannu1a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Give an example of a series a, where_lim_|a|¹/"
an where lim |an|1/n = 1 and Σan converges.
818
n=1
(b) Give an example of a series Σ an where lim |an|1/n = 1 and Σ a diverges.
n=1
84u
n=1
Note: These two examples show why in Root Test if the limit is equal to 1 we get
NO INFORMATION
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