Consider the alternating series001Σ (-1)"-0-1 (0+4)7It can be shown that this series converges by the Alternating Series Test. What is the largest possible error (remainder) inestimating the sum of the series by adding the first 35 terms? (Enter an exact value.)|R351 ≤

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Answered: Consider the alternating series 00…

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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The issue of convergence or divergence of some series can be answered by several different approaches (series tests), and each would give the answer independently. k2 Consider the series E- Answer the questions below regarding some of the tests one might try in order to determine whether the series converges or diverges. k = 1 (e) Would the ratio test be conclusive here? Select the correct choice below and, it necessary, till in the answer box within your choice. O A. Applying the ratio test gives r= 1. Therefore, the ratio test is inconclusive. O B. Applying the ratio test gives r= (type an exact value, or o or – o0). Since r 1, the series DIVERGES by the ratio test. (f) Can the alternating series test be applied here? Select the correct choice below and, if necessary, fill in the answer box within your choice. For this one, we let a, be the m O A. This is an alternating series and hence the alternating series test can be applied. It is clear that the terms a, are decreasing and that…
I need the second question
Given the series s (-1)"(In(n))² n2 (a) Using the Alternating Series Error bound, determine the smallest value of N for which |s- sy < .01. (NOTE: if solve does not work, try nsolve. If that does not work, print the first several terms of the sequence |a,| and observe your value of N). (b) Use the nsum command to find Sy for your value of N in part a) and the actual sum s. (In(n))" n? (c) We now want to test for absolute convergence, namely, does con- verge. Apply the Integral Test on an appropriate function to show this series does converge. (d) Using the Integral Test Error bound, determine the smallest value of N for which |8 – SN| < .01. (Refer to the first part of the hint for part (a) here as well).
Blure .....(-1)^n+1 missing word..... approximate the series

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Consider the alternating series 00 |R351 ≤ 1 Σ(-1). (n + 4)7 n = 1 It can be shown that this series converges by the Alternating Series Test. What is the largest possible error (remainder) in estimating the sum of the series by adding the first 35 terms? (Enter an exact value.)