Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn} increasing or decreasing? O Increasing (b,n+1² bn) O Decreasing (bn+1 < bn) (b) Determine the limit of the sequence {bn} as n → 00. lim bn = n00 (c) Using the Alternating Series Test, can you conclude that the series is convergent? O Yes, it is convergent. O The Alternating Series Test cannot be applied here.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Consider the alternating series (-1)"bn with
n=4
3n2
bn
n2 - 4
(a) Is the sequence {bn} increasing or decreasing?
O Increasing (bn+12 bn)
O Decreasing (bn+1 < bn)
(b) Determine the limit of the sequence {bn} as n → 0.
lim bn
(c) Using the Alternating Series Test, can you conclude that the series is convergent?
O Yes, it is convergent.
O The Alternating Series Test cannot be applied here.
Transcribed Image Text:Consider the alternating series (-1)"bn with n=4 3n2 bn n2 - 4 (a) Is the sequence {bn} increasing or decreasing? O Increasing (bn+12 bn) O Decreasing (bn+1 < bn) (b) Determine the limit of the sequence {bn} as n → 0. lim bn (c) Using the Alternating Series Test, can you conclude that the series is convergent? O Yes, it is convergent. O The Alternating Series Test cannot be applied here.
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