Use the Integral Test to determine if the series shown below converges or diverges. Be sure...
Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. M8 het en/3 Select the correct choice below and fill in the answer box to complete your choice. 3x? dx O A. The series converges because (Type an exact answer.) 3x? dx */3 OB. The series diverges because (Type an exact answer.) OC. The Integral Test cannot be used since one or more...
Use the root test to determine if the following series converges or diverges. Š - 13 n=1 (8 +(1/n) 2n Since the limit resulting from the root test is , the root test is inconclusive. (Simplify your answer. Type an exact answer.) shows the series converges. is inconclusive. shows the series diverges. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. Fin...
Use the integral Test to determine the convergence or divergence of the following series, or state that the conditions of the test are not satisfied and therefore 2 ke- Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. Since the integral dx converges to the series also converges. (Type an exact answer.) OB. Since the integral xe ** dx diverges, the series also diverges O c. The Integral Test does...
Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. We were unable to transcribe this imageWe were unable to transcribe this image
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 1 5e 2k k=3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. dx The series converges. The value of the integralſ is 5 e 2x 3 (Type an exact answer.) OB. dx The series diverges. The value of the integral is 5 e 2x (Type an exact answer.)...
Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ 15" 15 n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges per the Integral Test because | dx = 15% OB. The series diverges because the limit used in the Ratio Test is OC. The series diverges per the Integral Test because | dx = 15% OD. The series converges because...
Use the Integral Test to determine if the series converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. Inn R=3 n
Determine whether the following series converges. Justify your answer. 00 Σ 6 + cos 3k ko k=1 Select the correct answer below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) OA. The series is a p-series with p= so the series converges by the properties of a p-series. 00 OB. The Integral Test yields J f(x) dx = .so the series diverges by the Integral Test. 0 6 + cos 3k O...
please show all steps Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 2 Σ k(Ink)? k= 3 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. 2. The series converges. The value of the integralſ dx is x(In x)2 (Type an exact answer.) B. 2 The series diverges. The value of the integralſ -dx is x(...
Determine whether the following series converges. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an exact answer.) O A. Because -, for any positive integer k, and 2Ink + 2 diverges, the series diverges by the Comparison Test. +2 k+2 OB. Since J - = 0o, the series diverges by the Integral Test. Ink + 2 8 c. Because Ink +2 —, for any positive integer k, and converges, the...