(1 point) The three series [ An, Bn, and Cn have terms 1 1 An = Bn = 1 n4' Cn n6' n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A, B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if...
(1 point) The three series ^A,, ^ Bn, and > Cn have terms 1 An n 1 В, %3 1 С, —- = Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the...
The three series A,, > Bn, and Chave terms 1 В, — 1 C - 1 А, %3 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
Calendar x Course Home WebWork Math 1417HBG520 X G 11 59 edt to ist - Google Search X + bg.psu.edu/webwork2/Math-141-7HBG-S20/Homework 5/7/?effectiveUser=vqb5190&user=vqb5190&key=OPmT9lyHq7X43XU66923LSKCj6jEDmOF Home Page - Gener. Pearson Course Ho Chapter 19 Dashboard WebWork: Math-1. Home Cheos.com C++ Tutorial @ Electronic library D. DK Homework 5: Problem 7 Previous Problem List Next (1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent not using the Comparison Test (NOT the Limit Comparison Test.)...
(1 point) Assume we are trying to determine the convergence or divergence of the series 3n2 + 6n3 n8 – 4n2 M n=1 Which of the following statements accurately describes the series? A. The series converges conditionally. B. The series converges by the Limit Comparison Test with the series Σ n= alw - i M8 3 C. The series converges by the Limit Comparison Test with the series n=1 D. The series diverges by the Divergence Test. OE. It is...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...
At least one of the answers above is NOT correct. (1 point) Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you...
(4) Let Σ ak and Σ bk be series with positive terms. The limit comparison test applies when a/bk L0; suppose for this problem that ak/bk0. (a) Show that if Σ bk converges, then Σ ak converges. Hint: remember we can delete finitely many terms from the series and not affect convergence. Use the fact a/bk0 to truncate the series at a convenient point. (b) Show that if ak diverges, then bk diverges. (c) Show by example that if Σ...