19. Which of the following statements about the series Σ(-1)"n2n=1 n+1(A) The series can be shown to diverge by comparison with00is true?nn=(B) The series can be shown to diverge by limit comparison with(C) The series can be shown to converge by comparison with00n=1 nM2(D) The series can be shown to converge by the alternating series test.-1=

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Answered: 19. Which of the following statements…

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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Σαπ M n=1 an = Σ n=1 3n+n 6"+In(n) We want to use the limit comparison test to determine whether this series converges or diverges. (a) The dominant term of the numerator is The dominant term of the denominator is We should therefore use b = We get an L= lim n+oo bn == (b) Which of the following statement is true for the series b₁₁? n=1 A. The series diverges by the nth term test for convergence. OB. The series converges by the geometric series test since -1 1. E. The series diverges by the geometric series test since r = F. none of the above >1 (c) What does the limit comparison test tell you about the series A. The test tells us no information OB. The series diverges C. The series converges D. none of the above +∞0 Σ 3" + n¹ 6n+ln(n) ? n=1
2 4 Given the series Which ONE of the following statements is TRUE? 2 32 A. The series converges to I by comparison test B. The series diverges C. The series converges to 0 by n" root test D. The series converges to 0 by ratio test
I am working with power series and this answer explanation shown in the screen shot does not make sense to me. Why and are they reindexing and how to they get that resulting answer?
q5
Press to e (– 1)" Consider the series n7/6 n=1 1. Which of the following statements is true? (You may select more than one if appropriate. No partial credit is awarded for partially correct answers.) (- 1)" ! O The terms of the sequence are nonnegative. n7/6 n=1 1 O The terms of the sequence are decreasing. n7/6 n=1 O The Alternating Series Test may be applied to the series. O The given series is an alternating series. (– 1)" O The terms of the sequence are decreasing. n7/6 n=1 O The Integral Test may be applied to the series. O None of the above 2. 1 lim n→ o n7/6 3. Which of the following statements is true? (You may select more than one if appropriate.) OThe series converges conditionally. O The series converges absolutely. O The series diverges. O None of the above.
19 00 If the series > (-1)"a, is divergent and the seies Σ an is convergent then n=1 n=1 we said the series >(-1)"an is n=1 (a)conditionally convergent (b) absolutely convergent (c) None a O b O c O
-1)" Fact: the series S converges by virtue of the Alternating Series Test. n=1 According to the Alternating Series Estimation Theorem, what is the smallest value of N for which the error |RN| = |S – SN| is at most 0.082 ? А. 9 В. 10 С. 11 D. 12 Е. 13 F. 14 G. 15 Н. 16 I. 17
+∞o Letan be a series such that Sk = a₁ + a₂ + +ak = 2k k+2' for k € {1,2,3,...}. Identify and n=1 justify whether each of the following series converges or diverges. If convergent, find the sum. +∞o (2) Σ an n=1 +∞o Sn (b) n² n=1
answer A and B thank you

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