better? Problem 8. For each of the series, deternine convergence ot divergence and state the test s n-2 n in 5n - 2 c) n2 Tt roblem 8. For ench of the series, determine convergence or diverg...
sd. Detamine the convergence or divergence of an aternating series tt Detemne me convergence or divergence of sees-.1 the-compl or direct comparisom test. (You must jusitity your answer to get a credit 12. Determine the convergence or divergence or inconclusive of the series:Using the rasio test tYou must justity your answer to get a credit) We were unable to transcribe this image10. Determine the convergence or divergence of an alternating ser (You must justithy os (-1) your answer to get...
02. Investigate the convergence or divergence of the following series. State the name of the test you used n2 +1 n2 +5n +2 9n3-2 nel
Problem 1 convergence test used. Discuss convergence or divergence of the series. If convergent state the (a) ¿ In(n) In(n) In(n) + 2 n=1 (b) 2 (c) n!
(1 point) In order to determine the convergence or divergence of the series (-5)" n=1 (n2 + 5n) 4n+1 we calculate the limit L needed to run the Ratio Test. Which of the following values would we get? O A. L= 5 4 B. L = 00 O C. L = 0. Op. L = 5 16 O E. L = -5 20 OF. the limit L does not exist.
6. State and prove divergence or convergence for each of the following series. a. f. 3" (n+3) b. Vn cos(an) n+1 (2n-1)! g. n+2 c. Vn+ cosn h. 2"n! d. 2"n? i. 3"n! e.
Use the Alternating Series Test, if applicable to determine the convergence or divergence of the series. (-1)"\n(n) n n2 Identify a Evaluate the following limit. lima Since lima 7.0 and an + 1 2 an for all n-Select-
State and prove divergence or convergence for each of the following Series. (please answer all of them in clear writing) a. 3" Vn cos(ien) b. Å vn cos n+1 n=1 c. Ën+2 n+2 nn n=1 2" n! d. 11 n=1 3"n! e. 12
state and prove divergence or convergence for each of the following series. f. 5 nn |(n+3) n= ln 00 g. (2n-1) (n!) n=1 h. į vn + cos n n n=1 i. 2"n? n!
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 of c onter INFINITY - FINITY respectively) (n-1) verges dvoje Need Help? - 2 PUNIS LARCALLII 9.6.019.MI. MY NOTES ASK YOUR TEACHER Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Tests inconclusive, determine the convergence or divergence...
7. Use the Alternating Series Test to determine the convergence or divergence of the series a) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} \sqrt{n}}{2 n+1}\)b) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} n}{2 n-1}\)8. Use the Ratio Test or the Root Test to determine the convergence or divergence of the seriesa) \(\sum_{n=0}^{\infty}\left(\frac{4 n-1}{5 n+7}\right)^{n}\)b) \(\sum_{n=0}^{\infty} \frac{\pi^{n}}{n !}\)