Test the series below for convergence.6+n²3+2n²Σ(1)"+1,12-2A. The series is Select an answerB. Which test(s) did you use to reach your conclusion?alternating series testOnth term testratio testlimit comparison testcomparison testO integral testC. If you used the ratio test, what did the limit come out to be? If you used a comparison test, what seriesdid you compare it to? If you didn't use the ratio test or a comparison test, enter "DNE"

Answered: Test the series below for convergence.…

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…
Use the Ratio Test or the Root Test to determine the values of x for which the series converges. 5(7x)k 6k k=1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges only when (Type integers or simplified fractions.) (Type integers or simplified fractions.) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. The series converges only when OC. The series converges only when x = D. The series converges only when E. The series converges only when (Type integers or simplified fractions.) (Type integers or simplified fractions.) O F. The series converges for all x. O G. The series diverges for all x. ≤X< ≤x≤
Determine wheather the series con verges or diverges. State which test of convergence/divergence you used to Show convergen ce (divergence Of each series, An () n2 +1 Sn2 +3 n=1
Use any method to determine if the series converges or diverges. Give reasons for your answer. (n + 4)(n+6) n! Σ n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series diverges because the limit used in the Ratio Test is. OC. The series converges because the limit used in the nth-Term Test is O D. The series converges because the limit used in the Ratio Test is

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