Use the square root test and the integral test on the following series to see what you obtain:
Use the square root test and the integral test on the following series to see what...
5. Use the integral test and the root test to determine whether the series converges. 1 (b) (14 pts.)
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...
5.
5. Use the integral test and the root test to determine whether the series converges. 1 2 al Ext(n) (+) (b) È C +3)* (14 pts) 6. Determine whether the series is absolutoly conrormont condition 11
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...
List of Series and Tests • Geometric series, • Telescoping series, • Divergence test. • Integral test, • P-series test, • Comparison test, • Limit comparison test, Alternating series test, Absolute convergence theorem (absolute and conditional convergence), Ratio test, and • Root test. 1. Determine the convergence of the following series. State the test(s) you used to determine convergence. C. Σε 4-2k+1
Use the Root Test to determine if the following series converges absolutely or diverges. co 3 n=1 (6n + 5)" , Since the limit resulting from the Root Test is (Type an exact answer.) the Root Test is inconclusive. the series converges absolutely the series diverges.
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 root test to determine if the following series converges. 12 Σ 4n6 – 6 5n3 – n - - 7 n=1 Using the root test find lim 1200 VI(2) 1 ano 12 And, what can we conclude about the series 4n - 6 5n3 – n - 7 Σ Inconclusive Diverges Converges
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. kes (Ink)? JUICE TO CONTOURILE DOWang, M ary, answer DUA TU BO O R . OA The series converges. The value of the integral valvo otro horas antes de la 2x12-dxis (Type an exact answer.) OB The series diverges. The value of the integral dx is in x 5 (Type an exact answer.) OC. The Integral Test does...
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)