a lim - o Consider the following series. * (-1)* * 1 (jerror < 0.0000s) Show that the series is convergent. Since this series is an alternating series v , which condition(s) below show that it converges? (Select all that apply.) (n + 1)7 (n + 1)" In lim (n+ 1) How many terms of the series do we need to add in order to find the sum to the indicated accuracy? 13 x terms Enhanced Feedback Please try again, keeping in mind that you can apply the Alternating Series Test. First you can rewrite the nth term in the form (-1)"-Da where b,> 0, and then you need to verify the two conditions: (1) ba1 sb, for all n(i) lim b,-0 When both conditions are convergent; otherwise, the Alternating Series Test fails. To use the Alternating Series Estimation Theorem to estimate how many terms are needed to allow an error less then , you need to find the smallest integer n such that b+1 E.
a lim - o Consider the following series. * (-1)* * 1 (jerror < 0.0000s) Show that the series is convergent. Since this series is an alternating series v , which condition(s) below show that it converges? (Select all that apply.) (n + 1)7 (n + 1)" In lim (n+ 1) How many terms of the series do we need to add in order to find the sum to the indicated accuracy? 13 x terms Enhanced Feedback Please try again, keeping in mind that you can apply the Alternating Series Test. First you can rewrite the nth term in the form (-1)"-Da where b,> 0, and then you need to verify the two conditions: (1) ba1 sb, for all n(i) lim b,-0 When both conditions are convergent; otherwise, the Alternating Series Test fails. To use the Alternating Series Estimation Theorem to estimate how many terms are needed to allow an error less then , you need to find the smallest integer n such that b+1 E.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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