Consider the following alternating series. k9 と(-1)+1 k12 + 4 k=1 a) An alternating series can be written as (-1)* b1; or or (-1)* b; where k=1 k=1 br > 0. Find bị for the given series. b) Using b from part a) find lim b. If the limit is infinite, type infinity or -infinity as appropriate. If the limit does not exist and is not infinite, type DNE. Limit

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Consider the following alternating series.
Σ
k+1
k12 + 4
k=1
a) An alternating series can be written as
(-1)*-1 b; or (-1)* bg where
k=1
k=1
0. Find b, for the given series.
b) Using b from part a) find lim b. If the limit is infinite, type infinity or -infinity
as appropriate. If the limit does not exist and is not infinite, type DNE.
Limit
Transcribed Image Text:Consider the following alternating series. Σ k+1 k12 + 4 k=1 a) An alternating series can be written as (-1)*-1 b; or (-1)* bg where k=1 k=1 0. Find b, for the given series. b) Using b from part a) find lim b. If the limit is infinite, type infinity or -infinity as appropriate. If the limit does not exist and is not infinite, type DNE. Limit
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