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Use the Integral Test to determine the convergence or divergence of the following series, or state...
Use the integral Test to determine the convergence or divergence of the following series, or state...
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 the convergence or divergence of the following series, or state...
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.)...
please show all steps Use the Integral Test to determine the convergence or divergence of the...
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(...
To test the series e 2n for convergence, you can use the Integral Test. (This is...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Use the Divergence Test to determine whether the following series diverges or state that the test...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 +...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of...
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio...
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use coor-69, enter INFINITY OF-INFINITY, respectively.) 3 ni lim x Your answer cannot be understood or graded. More Information 2 converges diverges
Use a convergence test of your choice to determine whether the following series converges or diverges....
Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the...
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 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 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.)...
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(...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use coor-69, enter INFINITY OF-INFINITY, respectively.) 3 ni lim x Your answer cannot be understood or graded. More Information 2 converges diverges
Use a convergence test of your choice to determine whether the following series converges or diverges. 0 Σ ke 5k k= 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) A. The limit of the terms of the series is This is not 0, so the series diverges by the Divergence Test. B. The series is a geometric series with common ratio This is greater than 1, so the...
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...
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