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QUESTION 15 The Ratio Test can be used to determine whether 00 2n=103 converges. True False
Ratio test would be preferred. Thanks!
Determine whether the series converges In(n) a. Σ 2n – 31 4" + (-1)" b. (-3)="e" c. n n=0 n=0 n=1
Use the Ratio Test to determine whether the series converges ab 00 2k Σ k 149 k= 1 Select the correct choice below and fill in the answer box to compl (Type an exact answer in simplified form.) O A. The series converges absolutely because r = OB. The series diverges because r= O c. The Ratio Test is inconclusive because r=
Part A [15 Points]: Choose TRUE or FALSE for each of the following items. 1. If the series anx" converges, then anx" → as n 700. TRUE FALSE 2. The series & {-1}" is absolutely convergent. TRUE FALSE 3. The series 2 is convergent using the Ratio Test. TRUE FALSE 00 4. The series An- n n2+1 is convergent using the Geometric Series Test. TRUE FALSE 5. The series 2n=1 42+2n+3 (-1)" is conditionally convergent. TRUE FALSE
Page 13 of 15 Previous 13) 00 Determine whether the series m converges or diverges. n1 a) Diverges b) converges Both converges and diverges d) No test is applicable 1) Determine whether the sequence converges or diverges. In case of convergence find its limit. n + 2 Converges, lim = 8 b) Converges, lim = 7 Converges, lim - 4 d) Diverges
а Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 (-1)" n? (n+ (n + 6)! n=1 n!54n .us Since the limit resulting from the Ratio Test is (Simplify your answer.) the Ratio Test is inconclusive. the series diverges. the series converges absolutely. s - & Vel
2n Determine whether the series Σ is converges or diverges by the p-series Test. n=1 n4
7. Use the ratio test to determine whether the series converges or diverges: n!
Use an appropriate test to determine whether the series converges. 00 k+ 12 Σ In k= 1 By the this series
Use the ratio test or the root test to determine whether the series converges or diverges. Do 2 problems. **(n+8)3" 2) (-8) 4) (-1)** (n°352 (n+1)*4*3
Determine whether the following series converges absolutely, converges conditionally, or diverges. 00 (-1)+1e 3k Σ-11: -Σ ak (k 17 k 1 k 1 Find lim a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. koo O A. lim ak koo O B. The Ilimit does not exist. (1)* 1 (k 17) 3k e Σ. Now, let denote What can be concluded from this result using the Divergence Test? k 1 O...