Let E1 ak and , bk be two series with positive terms. Answer the questions about the limit comparison test in Exercises 14–18. 14. If lim = L, where L is a positive finite number, what koo be may we conclude about the two series? 15. Fill in the blanks and select the correct word: If lim = 0 and EL1 _ converges, then E1 k0o bi (converges/diverges). 16. If lim = 0 and E1 ak converges, explain why we ak k0o be cannot draw any conclusions about the behavior of 17. Fill in the blanks and select the correct word: If lim * = o and E1 _diverges, then E1 k=1 k0o bk (converges/diverges). ak 18. If lim = 0o and E, ak diverges, explain why we k=1 ko bx cannot draw any conclusions about the behavior of k=1
Let E1 ak and , bk be two series with positive terms. Answer the questions about the limit comparison test in Exercises 14–18. 14. If lim = L, where L is a positive finite number, what koo be may we conclude about the two series? 15. Fill in the blanks and select the correct word: If lim = 0 and EL1 _ converges, then E1 k0o bi (converges/diverges). 16. If lim = 0 and E1 ak converges, explain why we ak k0o be cannot draw any conclusions about the behavior of 17. Fill in the blanks and select the correct word: If lim * = o and E1 _diverges, then E1 k=1 k0o bk (converges/diverges). ak 18. If lim = 0o and E, ak diverges, explain why we k=1 ko bx cannot draw any conclusions about the behavior of k=1
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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Transcribed Image Text:Let E1 ak and , bk be two series with positive terms.
Answer the questions about the limit comparison test in
Exercises 14–18.
14. If lim = L, where L is a positive finite number, what
koo be
may we conclude about the two series?
15. Fill in the blanks and select the correct word:
If lim = 0 and EL1 _ converges, then E1
k0o bi
(converges/diverges).
16. If lim = 0 and E1 ak converges, explain why we
ak
k0o be
cannot draw any conclusions about the behavior of
17. Fill in the blanks and select the correct word:
If lim * = o and E1
_diverges, then E1
k=1
k0o bk
(converges/diverges).
ak
18. If lim
= 0o and E, ak diverges, explain why we
k=1
ko bx
cannot draw any conclusions about the behavior of
k=1
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