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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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 following series. Š (-1)^ + 1 n' |error| < 0.00005 n = 1 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.) 1 1 (n + 1)7 n7 1 1 (n + 1)7 n7 V lim = 0 n- 0 n7 1. lim n-o (n + 1)7 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)^-'b,, where b, > 0, and then you need to verify the two conditions: (i) b,+1 sb, for all n(ii) lim b, = 0 When both conditions are satisfied, the alternating series is 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 ɛ, you need to find the smallest integer n such that b, n+1 <E.
Transcribed Image Text:Consider the following series. Š (-1)^ + 1 n' |error| < 0.00005 n = 1 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.) 1 1 (n + 1)7 n7 1 1 (n + 1)7 n7 V lim = 0 n- 0 n7 1. lim n-o (n + 1)7 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)^-'b,, where b, > 0, and then you need to verify the two conditions: (i) b,+1 sb, for all n(ii) lim b, = 0 When both conditions are satisfied, the alternating series is 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 ɛ, you need to find the smallest integer n such that b, n+1 <E.
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