m/Student/PlayerTest.aspx?testld=253124002 Tong hop Cong thu.. c chinh.. 14 Trong treo xua roi,.. (14) Cong thuc "gia truy.. 43640) Determine whether the following series converges or diverges 2k K=0 VK2 + 5 Choose the correct answer below A. According to the Divergence Test, the series diverges because lim ax = 0 K-+0o O B. According to the Divergence Test, the series converges because lim ak = 0 K-+00 O C. According to the Divergence Test, the series converges because lim a # 0. K -+ 0o O D. According to the Divergence Test, the series diverges because lim a, # 0. K-+00 O E. The Divergence Test is inconclusiveic chinh.. (14 Trong treo xua roi,.. 14 Cong thuc "gia truy... Tong hop Cong thu. -43640) Use the Root Test to determine whether the series converges " M In (k + 15) Select the correct choice below and fill in the answer box within your choice O A. The Root Test is inconclusive because p = O B. The series converges because p = O C. The series diverges because p =Question Next questi Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive In2 M 8 n=0 6n + Select the correct answer below and fill in the answer box to complete your choice O A. According to the Divergence Test, the series diverges because lim ax = K-+00 (Simplify your answer.) O B. According to the Divergence Test, the series converges because lim ak = K -+ 00 (Simplify your answer.) O C. The Divergence Test is inconclusive because lim ay = K -+00 (Simplify your answer.) O D. The Divergence Test is inconclusive because lim a, does not exist. K-+0o N for which ak + 1 = ak O D. The series converges because ak = is nondecreasing in magnitude for k greater than some index N O E. The series diverges because ak = and for any index N, there are some values of k - N for which ak + , = ax and some values of k > N for which ak + 1 Sak OF. The series diverges because ak = is nonincreasing in magnitude for k greater than some index N and lim ak = K-+ CODetermine whether the following series converges or diverges. In the case of convergence, state whether the convergence is conditional or absolute. 0 8 ( - 1 ) k K = 0 K 7 + 1 Which test should be used to test whether the given series converges? The Test with ak = Find lim ak K-+00 lim ak = K -+ 0o Are the terms of the series nonincreasing in magnitude for k greater than some index N? O A. No, only the first five terms of the series are nonincreasing in magnitude, and the rest of the terms increase. O B. Yes, because there is an exponent in the denominator and whenever there is an exponent in the denominator, the terms of a series are nonincreasing in magnitude. O C. No, only the first two terms of the series are nonincreasing in magnitude, and the rest of the terms increase. O D. Yes, all the terms of the series are nonincreasing in magnitude Does the series converge or diverge? O A. The series converges. O B. The series diverges. In the case of convergence, state whether the convergence is conditional or absolute. Choose the correct answer below. O A. From the Integral Test, the series converges absolutely. O B. From the Integral Test, the series converges conditionally. O C. From the Limit Comparison Test, the series converges absolutely O D. From the Limit Comparison Test, the series converges conditionally. O E. The series diverges. (Type an integer or a simplified fraction.) O D. The series converges for all values of X. O E. The series diverges for all values of x This question: 1 For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S,). Then evaluate lim S, to obtain the value of the series or state that the series diverges M 8 K = 1 (K + 4)(k+5) A formula for the nth term of the sequence of partial sums is S, = Evaluate lim S, or state that the series diverges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice n-+co lim S. = (Simplify your answer. Type an integer or a fraction.) O A. n-+00 O B. The series diverges.Question 16 of 22 K Use the Comparison Test to determine whether the series converges. Next question IN 0o sin k = 1 Choose the correct answer below. O A. The Comparison Test with 1 iM8 shows that the series converges. K = 1 19 O B. The Comparison Test with ky shows that the series converges K = 1 O c. The Comparison Test with M shows that the series diverges. K = 1 O D. The Comparison Test with > k shows that the series diverges. K = 1