Consider the alternating series (-1)" by with 2n4 n4-7 1-4 a. Is the sequence (bn) increasing or decreasing? O Increasing (+12bm) O Decreasing (n+1 Sbn) b. Determine the limit of the sequence (bn) as noo. lim bn= 88 c. Using the Alternating Series Test, can you conclude that the series is convergent? O Yes, it is convergent. The Alternating Series Test cannot be applied here.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the alternating series (-1)" by with
by-
2n4
n4-7
1-4
a. Is the sequence (bn) increasing or decreasing?
O Increasing (+12b)
O Decreasing (n+1 Sbn)
b. Determine the limit of the sequence (bn) as n - 0o.
lim bn =
848
c. Using the Alternating Series Test, can you conclude that the series is convergent?
Yes, it is convergent.
O The Alternating Series Test cannot be applied here.
Transcribed Image Text:Consider the alternating series (-1)" by with by- 2n4 n4-7 1-4 a. Is the sequence (bn) increasing or decreasing? O Increasing (+12b) O Decreasing (n+1 Sbn) b. Determine the limit of the sequence (bn) as n - 0o. lim bn = 848 c. Using the Alternating Series Test, can you conclude that the series is convergent? Yes, it is convergent. O The Alternating Series Test cannot be applied here.
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