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Consider the following alternating series. E(-1)*+1 2ke k=1 00 a) An alternating series can be written as E(-1)*-1 b; or (-1)* bị where k=1 k=1 bk > 0. Find b for the given series. b) Using bị, from part a) find lim bj. If the limit is infinite, type infinity or -infinity as appropriate. If the limit does not exist and is not infinite, type DNE. Limit

Consider the following alternating series. E(-1)*+1 2ke k=1 00 a) An alternating series can be written as E(-1)*-1 b; or (-1)* bị where k=1 k=1 bk > 0. Find b for the given series. b) Using bị, from part a) find lim bj. 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
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. E(-1)*+1 2ke-k k=1 a) An alternating series can be written as (-1)*-1 bị or (-1)* b. where k=1 k=1 br > 0. Find bi for the given series. b = 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. E(-1)*+1 2ke-k k=1 a) An alternating series can be written as (-1)*-1 bị or (-1)* b. where k=1 k=1 br > 0. Find bi for the given series. b = 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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