Consider the following alternating series. E(-1)* 4k + 1 k=1 00 a) An alternating series can be written as (-1)*- bx or (-1)* br where k=1 k=1 bị > 0. Find bj for the given series. b) Using bị from part a) find lim b. If the limit is infinite, type infinity or -infinity k00 as appropriate. If the limit does not exist and is not infinite, type DNE. umit

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.
Vk
4k + 1
k=1
a) An alternating series can be written as ) (-1)*¯ br or
(-
1)* br where
k=1
k=1
bi > 0. Find bị, for the given series.
b) Using bị, 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. Vk 4k + 1 k=1 a) An alternating series can be written as ) (-1)*¯ br or (- 1)* br where k=1 k=1 bi > 0. Find bị, for the given series. b) Using bị, 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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